[A-EDev]

Summary

• Live chat and chat replay beside the video have a close button in their header.
• A closed chat leaves a "Show chat" (or "Show chat replay") button in its place, so it can come back even when the player's chat button is hidden in Settings.
• The player's chat button now works outside fullscreen too and shows whether the chat is open. It still follows the Live chat setting under player buttons.
• Chat opens again for each new video and when the player is closed.

Split out of #437, which is Captain-Vikram's work. Co-authored with him.

Related issue

Closes #435

Change type

• Bug fix
• Feature
• Refactor or maintenance
• Documentation
• Build, packaging, or CI

Validation

• pnpm test (387 files, 2294 tests, 0 failures)
• pnpm build (tsc and vite build pass)
• cargo fmt --manifest-path src-tauri/Cargo.toml --all -- --check
• cargo clippy --manifest-path src-tauri/Cargo.toml --all-targets --all-features
• cargo test --manifest-path src-tauri/Cargo.toml --all-targets --all-features
• I smoke-tested the affected desktop behavior.

No Rust files change. New tests cover closing the chat, the Show chat button bringing it back, and the store resetting it per video. Not run in the app yet.

Screenshots or recordings

Risk and compatibility

• No new secrets, private data, telemetry, or broad Tauri permissions were introduced.
• User-facing documentation was updated where needed.
• Dependency and lockfile changes are intentional and limited to this PR.
• Breaking changes and upgrade steps are clearly documented.

Frontend only: one new player store flag and two new strings. No database, network or playback change.

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