deletion screen minimal + 'node' as THE UI word (owner ruling)

Owner 2026-09-30: the confirm dialog's pre-flight impact read had to
go — what full death takes is obvious, the per-open fetch flickered,
and richer facts would only confuse as deletion semantics evolve
(rewiring is on the table). The screen is now: Delete node? / Delete
N nodes?, the names in the mono block, one permanence line, Cancel /
Delete. No loading state, no gone state (a 404 mid-run lands in the
honest failure line), no sessions join — the joins prop died too.

The dead path is deleted end to end: GET /api/graph/nodes/[id],
graphNodeImpact (server), nodeDeletionImpact (core) and their tests.

WORDING: node/node(s) is THE UI word for graph objects, standardized
across every surface's copy (owner, same ruling): the dialog titles,
the chain table's counts/search/summary/delete aria-labels, the
practice dialog's cluster counts, selection line, and empty-cluster
hint. Internal identifiers (selection.propositions) unchanged.

Rewritten dialog pins (tests/delete-node-dialog.test.tsx): minimal
contract — no facts/loading/fetch copy, singular/plural titles, the
cap, 409 dock phrasing, busy states, no 'proposition' left in the
dialog.

tests/render-chain-table.test.tsx

@@ -256,11 +256,11 @@ describe("ChainTableBody — the floating selection bar (never shifts layout)",
 		assert.ok(!html.includes('data-testid="chain-selection-bar"'));
 	});
 
-	it("appears with the derived N propositions → M chains + Clear + Generate + the FENCED Delete", () => {
+	it("appears with the derived N nodes → M chains + Clear + Generate + the FENCED Delete", () => {
 		const html = render({ selection: new Set(["a", "b", "c1"]) });
 		assert.ok(html.includes('data-testid="chain-selection-bar"'));
 		assert.ok(html.includes('data-testid="chain-selected-summary"'));
-		assert.ok(html.includes("3 propositions → 1 chain"));
+		assert.ok(html.includes("3 nodes → 1 chain"));
 		assert.ok(html.includes('data-testid="chain-clear"'));
 		assert.ok(html.includes('data-testid="chain-generate"'));
 		// The danger fence (owner, 2026-09-29 night): a divider quarantines
@@ -269,7 +269,7 @@ describe("ChainTableBody — the floating selection bar (never shifts layout)",
 		assert.ok(html.includes('data-testid="chain-danger-divider"'));
 		const del = html.match(/<button[^>]*data-testid="chain-delete"[^>]*>/)?.[0] ?? "";
 		assert.match(del, /border-destructive\/50/); // the destructive pair
-		assert.match(del, /aria-label="Delete 3 selected propositions"/);
+		assert.match(del, /aria-label="Delete 3 selected nodes"/);
 		assert.ok(html.includes("lucide-trash-2"), "the trash icon");
 		// the fence is AFTER generate in the DOM (right end of the bar)
 		assert.ok(html.indexOf('chain-generate"') < html.indexOf('chain-danger-divider"'));
@@ -284,7 +284,7 @@ describe("ChainTableBody — the floating selection bar (never shifts layout)",
 
 	it("a premise WITHOUT its conclusion derives as the singleton it becomes", () => {
 		const html = render({ selection: new Set(["a", "d"]) });
-		assert.ok(html.includes("2 propositions → 2 chains"), "no follows-edge survives inside the selection");
+		assert.ok(html.includes("2 nodes → 2 chains"), "no follows-edge survives inside the selection");
 	});
 });
 
@@ -303,7 +303,7 @@ describe("ChainTableBody — the fuzzy search (grouped + auto-expand)", () => {
 		assert.ok(!html.includes("cluster-group-notes1") === false, "notes1 still renders (it has a match)");
 		assert.ok(!html.includes("Ethics lesson") === false, "chat1 still renders (it has a match)");
 		// the floating bar is never search-filtered
-		assert.ok(html.includes("3 propositions → 1 chain"));
+		assert.ok(html.includes("3 nodes → 1 chain"));
 	});
 
 	it("no matches: the honest empty line", () => {