feat: add compaction card to backends page

[danielcherubini]

Summary

Add a compaction card to the backends page showing status and an enable/disable toggle. Compaction is embedded in the binary (no install needed) — the card exposes the existing compaction config from the UI.

Changes

• CompactionCardDto — New DTO with enabled, device, port, running, server_url, request_timeout_ms
• GET /tama/v1/backends — Extended response with compaction status from model registry
• POST /tama/v1/backends/compaction — Toggle endpoint that updates config, persists to disk, and triggers start/stop
• Compaction card UI — Renders on backends page with toggle, status, device/port display, green accent when running

Commits

• db3009a feat: add CompactionCardDto to backends list API
• 5ca1d46 feat: add POST /tama/v1/backends/compaction toggle endpoint
• ceef37a feat: add compaction card to backends page
• 9cf9446 fix: verify compaction card round-trip, full workspace clean
• 93bb498 docs: add comment explaining compaction toggle refresh behavior

Test plan

• cargo check --workspace — clean
• cargo clippy --workspace -- -D warnings — clean
• cargo test --workspace — all pass
• Manual test: toggle compaction on/off from backends page
• Manual test: verify compaction starts when enabled (requires uvx)

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ℹ️ Review info

⚙️ Run configuration

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro

Run ID: e4c9b965-4f2c-4ff3-8332-5ab9ef2d9798

📥 Commits

Reviewing files that changed from the base of the PR and between 7eb6aa6 and 34dc1e3.

📒 Files selected for processing (7)

• crates/tama-web/src/api/backends/compaction.rs
• crates/tama-web/src/api/backends/list.rs
• crates/tama-web/src/api/backends/mod.rs
• crates/tama-web/src/api/backends/types.rs
• crates/tama-web/src/pages/backends.rs
• crates/tama-web/src/router.rs
• docs/plans/README.md

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch feature/compaction-backend-card

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