diff --git a/app/api/chats/[id]/markdown/route.ts b/app/api/chats/[id]/markdown/route.ts
new file mode 100644
index 0000000..98aadc1
--- /dev/null
+++ b/app/api/chats/[id]/markdown/route.ts
@@ -0,0 +1,37 @@
+/**
+ * THE SESSION MARKDOWN EXPORT (owner, release polish 2026-10-06): the
+ * user-facing export the session-markdown engine was built for — the
+ * same document the extractor reads, minted anchorless (anchors are
+ * extraction provenance; a learner's export carries no message ids).
+ *
+ * GET /api/chats/:id/markdown → the whole session as one markdown file
+ * (Content-Disposition attachment; filename from the slugified title).
+ * 404 unknown chat. Both session kinds export — practice sessions ride
+ * the same engine (problem/conclude results render as tool blocks,
+ * markers are invisible by the engine's law).
+ */
+import { sessionMarkdown } from "@/src/core";
+import { getChat } from "@/src/server";
+
+/** Filename-safe title (own module scope on purpose: tiny + pure). */
+function slugify(title: string): string {
+	const slug = title
+		.toLowerCase()
+		.normalize("NFKD")
+		.replace(/[^a-z0-9]+/g, "-")
+		.replace(/^-+|-+$/g, "");
+	return slug.length > 0 ? slug : "session";
+}
+
+export async function GET(_req: Request, ctx: { params: Promise<{ id: string }> }): Promise<Response> {
+	const { id } = await ctx.params;
+	const record = getChat(id);
+	if (!record) return Response.json({ error: "Unknown chat" }, { status: 404 });
+	const markdown = sessionMarkdown(record.messages, { title: record.title, anchors: false });
+	return new Response(markdown, {
+		headers: {
+			"content-type": "text/markdown; charset=utf-8",
+			"content-disposition": `attachment; filename="${slugify(record.title)}.md"`,
+		},
+	});
+}
diff --git a/components/sidebar.tsx b/components/sidebar.tsx
index 0cabe1a..503745b 100644
--- a/components/sidebar.tsx
+++ b/components/sidebar.tsx
@@ -864,6 +864,28 @@ function SessionsSidebar() {
 						>
 							Rename
 						</button>
+						{/* Export as Markdown (owner, release polish 2026-10-06): the
+					    session-markdown engine's user-facing debut — same-origin
+						    anchor download; the route's Content-Disposition names the
+						    file. Sits with the management actions, above Delete (the
+						    destructive action stays last — the danger-fence law). */}
+						<button
+							type="button"
+							data-testid="ctx-export-md"
+							onClick={() => {
+								const chatId = ctxChatId;
+								setCtxChatId(null);
+								const a = document.createElement("a");
+								a.href = `/api/chats/${chatId}/markdown`;
+								a.download = ""; // the route's filename wins
+								document.body.appendChild(a);
+								a.click();
+								a.remove();
+							}}
+							className="flex items-center rounded-lg px-2.5 py-1.5 text-left text-foreground transition-colors hover:bg-accent"
+						>
+							Export as Markdown…
+						</button>
 						<button
 							type="button"
 							data-testid="ctx-delete"
diff --git a/src/core/index.ts b/src/core/index.ts
index afa6391..abcdd7f 100644
--- a/src/core/index.ts
+++ b/src/core/index.ts
@@ -69,3 +69,7 @@ export * from "./auth-keys.ts";
 // keyboard.ts: the shortcut registry + binding normalization (pure, browser-safe).
 export * from "./keyboard.ts";
 export * from "./coverage.ts";
+// session-markdown.ts (2026-09-27 engine; first consumer 2026-10-06): the
+// ONE session→markdown formatter — the extractor's view and the user-facing
+// export share it. Pure, browser-safe.
+export * from "./session-markdown.ts";
diff --git a/src/core/session-markdown.ts b/src/core/session-markdown.ts
index 4321b72..d7d3be2 100644
--- a/src/core/session-markdown.ts
+++ b/src/core/session-markdown.ts
@@ -21,6 +21,11 @@
  */
 
 import type { LhMessage } from "./native-messages.ts";
+import {
+	PRACTICE_CONCLUDE_TOOL,
+	PRACTICE_PROBLEM_TOOL,
+	problemInputForConclude,
+} from "./native-messages.ts";
 import type { ToolResultMessage } from "@earendil-works/pi-ai";
 
 /** The user-facing text blocks of a native message (string or text parts). */
@@ -33,8 +38,45 @@ function textOf(content: unknown): string[] {
 		.filter((t) => t.trim().length > 0);
 }
 
+/** The practice join context (owner-approved, 2026-10-06 export round):
+ *  practice tool RESULTS are acks — the statement, outcome, and verdict
+ *  all live in the assistant's call arguments, and the model solution
+ *  commits at POSE time. The markdown blocks join them the same way the
+ *  view seam folds cards (clean-only: a refused pose's result is errored
+ *  and renders nothing before this join is ever reached). */
+export interface MarkdownContext {
+	messages: ReadonlyArray<LhMessage>;
+	/** toolCallId → the call part's name + arguments. */
+	calls: Map<string, { name: string; args: Record<string, unknown> | undefined }>;
+}
+
+function markdownContext(messages: ReadonlyArray<LhMessage>): MarkdownContext {
+	const calls: MarkdownContext["calls"] = new Map();
+	for (const message of messages) {
+		if ((message as { role?: string }).role !== "assistant") continue;
+		const content = (message as { content?: unknown }).content;
+		if (!Array.isArray(content)) continue;
+		for (const part of content) {
+			const block = part as { type?: string; id?: string; name?: string; arguments?: unknown };
+			if (block.type === "toolCall" && typeof block.id === "string") {
+				calls.set(block.id, {
+					name: typeof block.name === "string" ? block.name : "",
+					args: (block.arguments ?? undefined) as Record<string, unknown> | undefined,
+				});
+			}
+		}
+	}
+	return { messages, calls };
+}
+
+/** solvedWithHints → "Solved with hints" — the outcome enum reads as prose. */
+function outcomeLabel(outcome: string): string {
+	const spaced = outcome.replace(/([a-z])([A-Z])/g, (_, lo: string, hi: string) => `${lo} ${hi.toLowerCase()}`);
+	return spaced.charAt(0).toUpperCase() + spaced.slice(1);
+}
+
 /** One tool result's learner-visible outcome, rendered as body lines. */
-function toolResultBody(result: ToolResultMessage): { heading: string; body: string[] } {
+function toolResultBody(result: ToolResultMessage, ctx?: MarkdownContext): { heading: string; body: string[] } {
 	const out = result.details as
 		| Partial<{
 				questionText: string;
@@ -61,6 +103,29 @@ function toolResultBody(result: ToolResultMessage): { heading: string; body: str
 		return { heading, body };
 	}
 
+	if (ctx !== undefined && result.toolName === PRACTICE_PROBLEM_TOOL) {
+		const statement = ctx.calls.get(result.toolCallId)?.args?.statement;
+		return {
+			heading: "Problem",
+			body: [typeof statement === "string" && statement.trim() ? statement.trim() : "(no statement)"],
+		};
+	}
+
+	if (ctx !== undefined && result.toolName === PRACTICE_CONCLUDE_TOOL) {
+		const args = ctx.calls.get(result.toolCallId)?.args;
+		const outcome = typeof args?.outcome === "string" && args.outcome.trim() ? args.outcome.trim() : "";
+		const verdict = typeof args?.verdict === "string" && args.verdict.trim() ? args.verdict.trim() : undefined;
+		if (outcome === "dismissed") return { heading: "Concluded", body: ["The learner skipped this problem."] };
+		const label = outcome !== "" ? `**${outcomeLabel(outcome)}.**` : "**Concluded.**";
+		const body = [verdict !== undefined ? `${label} ${verdict}` : label];
+		// The reveal (owner round, 2026-10-05): the solution committed at
+		// pose time — the newest cleanly-posed problem before this conclude.
+		const input = problemInputForConclude(ctx.messages, result.toolCallId);
+		const solution = typeof input?.modelSolution === "string" && input.modelSolution.trim() ? input.modelSolution.trim() : undefined;
+		if (solution !== undefined) body.push(`> **Model solution**\n>\n> ${solution.replace(/\n/g, "\n> ")}`);
+		return { heading: "Concluded", body };
+	}
+
 	if (result.toolName === "ask_user_question") {
 		const question = typeof out?.questionText === "string" && out.questionText ? out.questionText : "(no question text)";
 		const body = [`**Q:** ${question}`];
@@ -84,7 +149,12 @@ function toolResultBody(result: ToolResultMessage): { heading: string; body: str
  * nothing (a failed tool call, a bare marker, an empty text part set).
  * `mid` is the provenance anchor shown when `anchors` is on.
  */
-export function messageMarkdown(message: LhMessage, mid: string, anchors = true): string | null {
+export function messageMarkdown(
+	message: LhMessage,
+	mid: string,
+	anchors = true,
+	ctx?: MarkdownContext,
+): string | null {
 	const role = (message as { role?: string }).role;
 	const anchor = anchors ? ` · ${mid}` : "";
 	const parts: string[] = [];
@@ -100,7 +170,7 @@ export function messageMarkdown(message: LhMessage, mid: string, anchors = true)
 	} else if (role === "toolResult") {
 		const result = message as ToolResultMessage;
 		if (result.isError) return null; // retry context, not learning evidence
-		const { heading, body } = toolResultBody(result);
+		const { heading, body } = toolResultBody(result, ctx);
 		parts.push(`### ${heading}${anchor}\n\n${body.join("\n\n")}`);
 	}
 
@@ -120,8 +190,9 @@ export function sessionMarkdown(
 ): string {
 	const blocks: string[] = [];
 	if (opts.title !== undefined && opts.title.length > 0) blocks.push(`# ${opts.title}`);
+	const ctx = markdownContext(messages);
 	for (const message of messages) {
-		const block = messageMarkdown(message, (message as { id?: string }).id ?? "", opts.anchors ?? true);
+		const block = messageMarkdown(message, (message as { id?: string }).id ?? "", opts.anchors ?? true, ctx);
 		if (block !== null) blocks.push(block);
 	}
 	return blocks.join("\n\n");
diff --git a/tests/markdown-export.test.ts b/tests/markdown-export.test.ts
new file mode 100644
index 0000000..d53d687
--- /dev/null
+++ b/tests/markdown-export.test.ts
@@ -0,0 +1,81 @@
+/**
+ * THE SESSION MARKDOWN EXPORT ROUTE (owner, release polish 2026-10-06):
+ * GET /api/chats/:id/markdown — the user-facing export. The engine
+ * itself is pinned by tests/session-markdown.test.ts; this file pins
+ * the ROUTE contract: 404 unknown chat, the attachment headers, the
+ * slugified filename, the anchorless document with the title header.
+ *
+ * Runs under an isolated LH_DATA_DIR (the chat-birth-stamp discipline:
+ * the seam is set before any config-loading import, so every
+ * app-module import is dynamic).
+ */
+import assert from "node:assert/strict";
+import fs from "node:fs";
+import * as os from "node:os";
+import * as path from "node:path";
+import { after, before, describe, it } from "node:test";
+
+// ── the seam, BEFORE any config-loading import ──────────────────────────────
+const TMP_DATA = fs.mkdtempSync(path.join(os.tmpdir(), "lh-md-export-"));
+process.env.LH_DATA_DIR = TMP_DATA;
+
+/** The route handler + the store seam, loaded AFTER the env is set. */
+type Get = (req: Request, ctx: { params: Promise<{ id: string }> }) => Promise<Response>;
+let GET: Get;
+let createChat: (title: string, kind?: "practice") => { id: string; title: string };
+let saveMessages: (id: string, messages: unknown[]) => void;
+
+before(async () => {
+	const route = await import("../app/api/chats/[id]/markdown/route.ts");
+	GET = route.GET;
+	const server = await import("../src/server/chats.ts");
+	createChat = server.createChat;
+	const { chatStore } = await import("../src/store/chats.ts");
+	saveMessages = (id, messages) => chatStore.saveMessages(id, messages as never);
+});
+
+describe("GET /api/chats/:id/markdown", () => {
+	it("404s an unknown chat", async () => {
+		const res = await GET(new Request("http://x/api/chats/nope/markdown"), { params: Promise.resolve({ id: "nope" }) });
+		assert.equal(res.status, 404);
+	});
+
+	it("exports the session as an anchorless markdown attachment, filename from the title", async () => {
+		const chat = createChat("Relational Databases — Joins & Normal Forms");
+		saveMessages(chat.id, [
+			{ id: "m1", role: "user", content: "Teach me joins" },
+			{ id: "m2", role: "assistant", content: "A join combines rows." },
+		]);
+		const res = await GET(new Request("http://x/api"), { params: Promise.resolve({ id: chat.id }) });
+		assert.equal(res.status, 200);
+		assert.equal(res.headers.get("content-type"), "text/markdown; charset=utf-8");
+		const disposition = res.headers.get("content-disposition") ?? "";
+		assert.ok(disposition.startsWith("attachment;"), "it is a download");
+		assert.ok(disposition.includes('filename="relational-databases-joins-normal-forms.md"'), "slugified title names the file");
+		const body = await res.text();
+		assert.ok(body.startsWith("# Relational Databases"), "the title mints the document header");
+		assert.ok(body.includes("### Learner"), "learner blocks render");
+		assert.ok(body.includes("### Teacher"), "teacher blocks render");
+		assert.ok(!body.includes("m1"), "anchorless — no message-id provenance in the user-facing export");
+	});
+
+	it("an unsalvageable title falls back to 'session'", async () => {
+		const chat = createChat("日本語"); // no ascii alphanumerics survive the slug
+		saveMessages(chat.id, [{ id: "m1", role: "user", content: "hello" }]);
+		const res = await GET(new Request("http://x/api"), { params: Promise.resolve({ id: chat.id }) });
+		assert.equal(res.status, 200);
+		assert.ok((res.headers.get("content-disposition") ?? "").includes('filename="session.md"'));
+	});
+
+	it("an empty session exports the bare header document", async () => {
+		const chat = createChat("Quiet one");
+		const res = await GET(new Request("http://x/api"), { params: Promise.resolve({ id: chat.id }) });
+		assert.equal(res.status, 200);
+		const body = await res.text();
+		assert.equal(body, "# Quiet one");
+	});
+});
+
+after(() => {
+	fs.rmSync(TMP_DATA, { recursive: true, force: true });
+});
diff --git a/tests/session-markdown.test.ts b/tests/session-markdown.test.ts
index 0683d7b..0a52b98 100644
--- a/tests/session-markdown.test.ts
+++ b/tests/session-markdown.test.ts
@@ -51,6 +51,22 @@ function result(
 	} as never;
 }
 
+/** An assistant message carrying one toolCall part (the practice join's
+ *  call side — args live HERE, the results are bare acks). */
+function callMsg(id: string, callId: string, name: string, args: unknown): LhMessage {
+	return {
+		id,
+		role: "assistant",
+		content: [{ type: "toolCall", id: callId, name, arguments: args }],
+		api: "openai-completions",
+		provider: "openrouter",
+		model: "test",
+		usage: { input: 0, output: 0, cacheRead: 0, cacheWrite: 0 },
+		stopReason: "stop",
+		timestamp: Date.now(),
+	} as never;
+}
+
 describe("messageMarkdown", () => {
 	it("renders speaker blocks with the id anchor", () => {
 		const md = messageMarkdown(user("u1", "teach me the chain rule"), "u1");
@@ -105,6 +121,64 @@ describe("messageMarkdown", () => {
 	});
 });
 
+describe("sessionMarkdown — the practice join (owner-approved, 2026-10-06)", () => {
+	it("a problem result renders the POSE's statement, joined off the call id", () => {
+		const messages = [
+			callMsg("a1", "call-p1", "problem", {
+				statement: "Push the prior through the learning transition.",
+				mode: "recall",
+				target: [],
+				modelSolution: "Two phases, in forced order.",
+			}),
+			result("r1", "call-p1", "problem", null),
+		];
+		const md = sessionMarkdown(messages);
+		assert.ok(md.includes("### Problem"), "the Problem heading renders");
+		assert.ok(md.includes("Push the prior through the learning transition."), "the statement renders");
+		assert.ok(!md.includes("Two phases"), "the solution does NOT leak at pose time");
+	});
+
+	it("a conclude result renders outcome + verdict + the pose's model solution as the reveal", () => {
+		const messages = [
+			callMsg("a1", "call-p1", "problem", {
+				statement: "Compute P(knows | correct).",
+				modelSolution: "Bayes, twice over.",
+			}),
+			result("r1", "call-p1", "problem", null),
+			callMsg("a2", "call-c1", "conclude", { outcome: "solvedWithHints", verdict: "Right answer, one nudge." }),
+			result("r2", "call-c1", "conclude", null),
+		];
+		const md = sessionMarkdown(messages);
+		assert.ok(md.includes("### Concluded"), "the Concluded heading renders");
+		assert.ok(md.includes("**Solved with hints.** Right answer, one nudge."), "outcome reads as prose, then the verdict");
+		assert.ok(md.includes("> **Model solution**"), "the reveal block quotes the committed solution");
+		assert.ok(md.includes("> Bayes, twice over."), "the solution text carries the blockquote prefix");
+	});
+
+	it("a dismissed problem concludes without leaking the model solution", () => {
+		const messages = [
+			callMsg("a1", "call-p1", "problem", { statement: "Derive the posterior.", modelSolution: "The answer." }),
+			result("r1", "call-p1", "problem", null),
+			callMsg("a2", "call-c1", "conclude", { outcome: "dismissed" }),
+			result("r2", "call-c1", "conclude", null),
+		];
+		const md = sessionMarkdown(messages);
+		assert.ok(md.includes("The learner skipped this problem."), "the dismissal reads as a skip");
+		assert.ok(!md.includes("The answer."), "no reveal on a skipped problem — the card's refusal law");
+		assert.ok(md.includes("### Problem"), "the statement still renders (it was on screen)");
+	});
+
+	it("an errored pose renders nothing — the failed-tool law holds for practice", () => {
+		const messages = [
+			callMsg("a1", "call-p1", "problem", { statement: "Never acked." }),
+			result("r1", "call-p1", "problem", null, true),
+		];
+		const md = sessionMarkdown(messages);
+		assert.ok(!md.includes("### Problem"), "no problem block");
+		assert.ok(!md.includes("Never acked."), "no statement either — the pose never happened");
+	});
+});
+
 describe("sessionMarkdown", () => {
 	it("assembles blocks in order under the title header, skipping nothings", () => {
 		const md = sessionMarkdown([user("u1", "go"), teacher("a1", "First."), user("u2", "  ")], { title: "My session" });