fix(mobile): keep iPadOS Threads toolbar visible after resizing

[PixPMusic]

Replacement PR: #10629 contains the tested rebase from the original branch, PixPMusic:fix/ipad-threads-toolbar-resize. This PR remains closed because GitHub rejected reopening it.

On iPadOS 26, widening the Threads window and then shrinking it can leave the native search toolbar wider than the window, clipping the filter and new-task buttons. This PR lets the toolbar shrink within the current safe area and return to its preferred width when the iPad window expands.

The native toolbar now uses a preferred width with required safe-area edge constraints. The iOS split-view Home route clears the compact toolbar when the thread list moves into the sidebar. The rebase preserves current main's keyboard-editing priorities and Android header behavior.

Platform scope

This fixes iPadOS window resizing. #5385 restored Android tablet/foldable sidebar controls and did not contain these native iOS constraint changes. The resize defect remains reproducible on main. The changed constraints are in the shared iOS native toolbar implementation.

Before / after

Fresh captures from the same seeded environment on an iPad Pro 13-inch (M5), iPadOS 26.5. A left-tiled window narrows when the iPad rotates from landscape to portrait. The baseline uses main's native constraints at e0e0bcb115; the after capture uses this PR. Capture orientation is normalized for comparison.

Before: controls clipped	After: controls remain visible

Before recording · After recording, including widening again

Verification

• Rebased onto main at d081ab7abc; migrated the native change to react-native-screens@4.26.2.
• Fresh native Debug build and launch on the iPad simulator pass.
• Reproduced clipping with main's native constraints; verified narrowing and widening with this PR.
• Filter menu and new-task project picker open at the narrow width; returning to full-screen split view clears the compact bottom toolbar.
• pnpm exec vp run --filter @t3tools/mobile typecheck passes.
• Targeted formatting passes; targeted lint reports one pre-existing react(set-state-in-effect) warning outside this change.
• git diff --check passes.

Models: GPT-5.6 Sol (original implementation), GPT-6 (rebase and verification) | Harness: Codex in T3 Code

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Cursor Bugbot has reviewed your changes using high effort and found 1 potential issue.

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[macroscopeapp]

Approvability

Verdict: Approved at 8993b5a

Macroscope's review found this PR approvable — This is a self-contained mobile UI bug fix for toolbar visibility after resizing. Changes are limited to iOS-specific toolbar item clearing and simplifying native layout constraints, with no broader runtime implications.

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Dismissing prior approval to re-evaluate 657d22c

Dismissing prior approval to re-evaluate d2b3e29

Dismissing prior approval to re-evaluate 8993b5a

[juliusmarminge]

Closing as part of the open-PR backlog sweep (wave 1).

Reason: Superseded by #5385 (same author) restoring Android tablet thread controls.
Related: #5385

Reopen if this is still wanted and you’re willing to rebase onto current main.