feat(mobile): add Plan Mode to new task settings

[tomhhealy]

What Changed

• Added a Plan Mode toggle to the mobile new-task settings to improve user experience.
• Positioned the toggle after Fast Mode when available, or at the end of the provider options otherwise.
• Persisted explicit Build/Plan selections in the draft, including offline queued tasks.
• Reset interaction mode after submission so the next task starts in Build mode.
• Kept existing-thread settings unchanged.

Why

Plan Mode was previously available on mobile only through a legacy preference-gated composer shortcut. This made it undiscoverable or unavailable for many users even though new tasks already support an interaction mode.

Putting the control in new-task settings makes Plan Mode consistently accessible while keeping the change scoped to task creation.

UI Changes

Original thread settings on the left, newly introduced "Plan mode" toggle switch on the right (this PR).

Before	After

Testing

• vp test run apps/mobile/src/features/threads/legacy-plan-mode.test.ts apps/mobile/src/features/threads/new-task-interaction-mode.test.ts apps/mobile/src/features/threads/thread-settings-options.test.ts apps/mobile/src/state/use-composer-drafts.test.ts
• 4 test files passed, 21 tests passed.

Checklist

• This PR is small and focused
• I explained what changed and why
• I included before/after screenshots for any UI changes

Note

Add Plan Mode toggle to new task settings on mobile

• Adds a "Plan Mode" switch to the new task thread settings sheet, placed immediately after the "Fast Mode" option, allowing users to toggle ProviderInteractionMode between default and plan per task.
• Introduces resolveNewTaskInteractionMode and interactionModeFromPlanToggle helpers in new-task-interaction-mode.ts to centralize mode resolution and UI toggle mapping.
• Removes the legacy planModePreferenceLoaded flag from NewTaskFlowProvider; interaction mode is now derived solely from the draft or queued task value.
• After task submission, clearComposerDraftContent now clears interactionMode from the draft so subsequent tasks revert to the default mode.

^{Macroscope summarized c54c744.}

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[macroscopeapp]

Approvability

Verdict: Needs human review

This PR adds a new Plan Mode toggle feature to new task settings, introducing new user-facing behavior. New capabilities warrant human review even when implementation is straightforward.

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