fix(mobile): persist thread shelf collapse state

[PixPMusic]

What Changed

• persist the mobile Thread List v2 Settled and Snoozed shelf expansion states across app restarts
• use the existing device preference store so the Home list and iPad sidebar stay synchronized
• keep rapid toggles ordered and disable shelf interaction until preferences finish loading
• keep the first-run defaults: Settled expanded and Snoozed collapsed
• ignore invalid persisted shelf preference values

Why

#5056 made the mobile Settled shelf collapsible, but both mobile shelves still reset whenever the app restarts. This brings mobile in line with the persistence fix in #5136 without adding another storage mechanism.

UI Changes

No visual changes. The existing shelf layout and interactions are unchanged; only the chosen expansion state now survives a restart.

Verification

• vp test run apps/mobile/src/lib/storage.test.ts apps/mobile/src/features/threads/threadListV2.test.ts (47 tests)
• vp run --filter @t3tools/mobile typecheck
• targeted lint and formatting checks on the six changed mobile files
• git diff --check

Checklist

• This PR is small and focused
• Defaults remain Settled expanded and Snoozed collapsed
• No screenshots or video needed because the rendered UI is unchanged

Model: GPT-5.6 Sol | Harness: Codex in T3 Code

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Note

Low Risk
Device-local UI preference persistence with boolean defaults and sanitization; no auth, sync, or thread lifecycle changes.

Overview
Thread List v2 Settled and Snoozed shelf expand/collapse now survives app restarts on mobile. Home and the iPad sidebar no longer keep separate in-memory shelf state; both use a shared hook that reads and writes the existing device mobile preferences store.

New preference keys threadListV2SettledShelfExpanded and threadListV2SnoozedShelfExpanded keep first-run behavior: Settled expanded unless explicitly false, Snoozed collapsed unless explicitly true. Shelf header toggles stay disabled until preferences load, and invalid stored types are dropped during parse (covered by storage tests).

^{Reviewed by Cursor Bugbot for commit ccd4313. Bugbot is set up for automated code reviews on this repo. Configure here.}

Note

Persist thread shelf collapse state across sessions in mobile

• Adds a new useThreadListV2ShelfPreferences hook in use-thread-list-v2-shelf-preferences.ts that reads and writes snoozed/settled shelf expansion state to mobilePreferencesAtom, replacing local component state in HomeScreen and ThreadNavigationSidebarPane.
• Snoozed shelf defaults to collapsed (false) and settled shelf defaults to expanded (true) when no persisted value exists.
• Adds threadListV2SettledShelfExpanded and threadListV2SnoozedShelfExpanded fields to the Preferences interface with sanitization that drops non-boolean values.
• Shelf header buttons accept a new disabled prop and are disabled until preferences finish loading to prevent toggling before state is known.

^{Macroscope summarized ccd4313.}

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[macroscopeapp]

Approvability

Verdict: Approved ccd4313

Simple UI state persistence change that moves shelf collapse state from in-memory to persisted storage. Uses existing preferences infrastructure, includes proper sanitization and tests, and is self-contained with no broader runtime impact.

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