fix(pdf): split pagesRead from pagesConsulted — the honest badge count

Live-smoke follow-up the user approved (2026-09-19): the GEB read showed
"78 pages consulted" when the reader genuinely READ ~12 - pdf_search hit
snippets inflated the count. PdfResult now carries both:

- pagesRead: extract/render output entered the loop - the honest count
  the badge and brief footer show ("read N pages", "Pages read: ...").
- pagesConsulted: every page whose content entered the loop, search-hit
  context lines included - unchanged, still the citation audit set (the
  reader's instructions still say "Pages consulted: N, N, ..." and the
  footer still lists it when it exceeds the read set).

The unread-finish gate deliberately stays on CONSULTED: search hits are
genuine consultation (anti-fabrication duty), so a search-only brief is
honest and must deliver - pagesRead is a reporting refinement, not a
delivery gate. Pinned by the search-only faux test (read [], consulted
[1], delivered).

UI tolerates pre-split persisted records via ?? fallbacks (old steers
lack pagesRead).

tests/demos.test.tsx

@@ -422,13 +422,14 @@ describe("steer card rendering (the delivered artifact)", () => {
 				path: "/Users/x/course/chapter-3.pdf",
 				question: "What is the integral of x dx?",
 				brief: "The power rule appears on **page 1**: the integral of x dx is x^2/2 + C.",
+				pagesRead: [1],
 				pagesConsulted: [1, 2],
 			},
 		);
 		const html = renderToStaticMarkup(<SubagentSteerCard message={steer as never} />);
 		assert.match(html, /PDF/);
 		assert.match(html, /reading complete/);
-		assert.match(html, /2 pages consulted/);
+		assert.match(html, /read 1 page/, "the badge counts READ pages, not search hits");
 		assert.match(html, /<details[^>]*data-testid="pdf-complete-badge"/, "a real disclosure like the research badge");
 		assert.ok(!/<details[^>]*open/.test(html), "collapsed by default");
 		assert.ok(html.includes("power rule"), "the brief rides inside the details");
@@ -439,7 +440,7 @@ describe("steer card rendering (the delivered artifact)", () => {
 	it("renders the PDF failure brief with the failed badge when the reader FAILED", () => {
 		const steer = buildSubagentSteer(
 			{ id: "jpf2", kind: "pdf", toolCallId: "cpf2" },
-			{ path: "/tmp/doc.pdf", question: "q", brief: "PDF failed: the file could not be opened", pagesConsulted: [] },
+			{ path: "/tmp/doc.pdf", question: "q", brief: "PDF failed: the file could not be opened", pagesRead: [], pagesConsulted: [] },
 		);
 		const html = renderToStaticMarkup(<SubagentSteerCard message={steer as never} />);
 		assert.match(html, /pdf-brief-card/);