fix(catalog): improve mobile discovery and pagination

[tiankaima]

Goal

Make the public course, section, and teacher catalogs usable in the first mobile viewport and restore complete URL-driven pagination.

Closes #378
Closes #398
Closes #399

Changes

• Keep one prominent mobile search row and move advanced filters into an accessible right-side Sheet.
• Show removable active-filter chips outside the Sheet, including clear-all, while preserving hidden advanced filters on search.
• Preserve the 17rem desktop filter sidebar and contain wide result tables inside their own horizontal scroll region.
• Replace append-only infinite paging with real Previous / numbered-page / Next anchors that preserve query parameters and browser history.
• Remove duplicated course/section header summaries and redundant subtitles.
• Mark app hydration explicitly and make E2E interactions wait for it, eliminating click-before-hydration flakes.
• Add shared catalog filter/pagination components, mobile/desktop E2E coverage, an isolated 25-course pagination fixture with guaranteed cleanup, and update docs/contracts/_ui.json.

Verification

Final head: 0623ecb8a98b61ddd306179c8011c38df5a5d53a

• GitHub Actions run 29432233190: all jobs passed.
  • Check / OpenAPI parity: passed
  • Static loader image: passed
  • MCP integration: passed
  • public-web E2E: 160 passed, 0 failed, 0 flaky
  • api-mcp, signed-in, and admin-comments E2E: passed
• Published Playwright report
• Cloudflare commit preview: deployment successful for the final head.
• Local Bun 1.3.13 checks: app preparation, Biome, Svelte check (0/0), all three TypeScript projects, Vitest, OpenAPI parity, build, and focused pagination/contract tests passed. Biome retains only the pre-existing unused-parameter warning in src/static-loader/import.ts:1325.
• Fresh independent source/full-check review: passed.
• Fresh independent visual review of the final CI artifacts: passed.
  • Courses, sections, and teachers at 390×844 show search, filter trigger, active chips, result summary, and the first result in the initial viewport with no page-level horizontal overflow.
  • Desktop screenshot retains both sidebars and shows page 2 with Previous, page 1/2, and Next controls.
  • Sheet access, query preservation, aria-current, history/Back, geometry, and overflow assertions all passed.

Risk / Scope

• Catalog navigation intentionally changes from client-side infinite append to route-based pages.
• Pagination's full database-backed browser journey is exercised on courses; sections and teachers use the same shared component and URL builder.
• No schema, migration, auth, API response, privacy, OpenAPI, or message changes.
• No screenshots, traces, generated outputs, or scratch probes are committed.

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Status	Name	Latest Commit	Preview URL	Updated (UTC)
✅ Deployment successful! View logs	life-ustc	0623ecb	Commit Preview URL Branch Preview URL	Jul 15 2026, 04:25 PM

[github-actions]

E2E HTML report is ready: https://life-ustc.github.io/e2e-snapshot-artifacts/reports/29432233190/index.html
All reports: https://life-ustc.github.io/e2e-snapshot-artifacts/

[github-actions]

🎉 This PR is included in version 1.51.4 🎉

The release is available on GitHub release

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