feat(capture-sdk): cross-page recording via sessionStorage persistence

[Swahjak]

Summary

• Persists the active debugger session (network, console, actions) to sessionStorage on pagehide so events survive full-page navigations
• On the next page, init() detects the stored session and resumes the recording dock automatically with the original startedAt timestamp
• When the user stops recording on a new page with no active MediaRecorder (recorder died during navigation), falls back to a screenshot so the report still includes the full cross-page debugger trace
• Events accumulated before the navigation are inherited by startSession() on the new page, giving a continuous timeline in the final report

Changes

• sdks/capture/src/debugger/session-storage.ts — new helpers: persistSession, loadPersistedSession, clearPersistedSession (5-minute expiry, version guard, try/catch for private browsing)
• sdks/capture/src/debugger/debugger-collector.ts — persist on pagehide, restore on install(), clear on finalize/reset; adds hasActiveSession() and getSessionStartedAt()
• sdks/capture/src/debugger/lazy-debugger-collector.ts — exposes ensureSessionRestored(): Promise<number | null>
• sdks/capture/src/runtime/capture-runtime.ts — calls resumePersistedSession() in init() when storage has a session; onStopRecording falls back to screenshot when no active recording

Test Plan

• 22/22 unit + integration tests pass (bun test sdks/capture/test)
• session-storage.test.ts — 8 tests covering round-trip, expiry, malformed input, invalid events
• cross-page-recording.test.ts — 4 integration tests: no-session init, session-present init, screenshot fallback, full recording flow after resume
• Manually verify: start recording on page A → navigate to page B → recording dock appears → stop → review shows events from both pages

Known limitations

• Video across pages: MediaRecorder cannot survive a navigation. The resumed page gets screenshot + full cross-page debugger trace, not a stitched video.
• Cross-origin navigation: sessionStorage is origin-scoped. Navigation to a different origin loses the session.

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