Add setting to hide the title bar search bar in vertical tab layout

[maxmilian]

Description

Adds a user setting that hides the search bar in the title bar when the vertical tab layout is active, per #12218. Users on vertical tabs who prefer minimal top chrome can remove the search bar from the title bar; search remains reachable through the command palette and keyboard shortcuts.

The new setting is appearance.vertical_tabs.hide_title_bar_search_bar (boolean, default off). When vertical tabs are active and the setting is on, the title-bar search bar is replaced by an empty flexible slot, so the right-side controls stay right-aligned. The change lives entirely inside the vertical-tabs render path, so horizontal tab layouts are unaffected.

The toggle appears under Settings → Appearance → Tabs ("Hide search bar in vertical tab layout"), shown only when the vertical tabs feature is enabled — mirroring the existing vertical-tabs toggles.

Linked Issue

• The linked issue is labeled ready-to-spec or ready-to-implement.
• Where appropriate, screenshots or a short video of the implementation are included below.

Fixes #12218

Testing

• cargo fmt -- --check
• cargo check -p warp
• cargo clippy -p warp --all-targets --tests -- -D warnings
• cargo nextest run -p warp hide_title_bar_search_bar — 2/2 passing (new: defaults-to-false + toml-path)
• I have manually tested my changes locally with ./script/run

Screenshots / Videos

12249_before_after.mp4

Toggling Settings → Appearance → Tabs → “Hide search bar in vertical tab layout” while in vertical tab mode: the title-bar search bar is hidden when the setting is ON (right-side controls stay right-aligned) and restored when OFF. Horizontal tab layouts are unaffected.

Agent Mode

• Warp Agent Mode - This PR was created via Warp's AI Agent Mode

[oz-for-oss]

@maxmilian

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[oz-for-oss]

Overview

This PR adds a synced Appearance setting for hiding the title-bar search bar when vertical tabs are active, wires it into the vertical-tabs title bar render path, refreshes the workspace on setting changes, and adds settings path/default tests. The PR description includes visual evidence for the user-facing behavior.

Concerns

• No blocking concerns found.

Verdict

Found: 0 critical, 0 important, 0 suggestions

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[bholmesdev]

Hadn't noticed you opened a PR when I made my own. This looks good! Thanks