fix(dashboard): settle remote sync button state

[christso]

Summary

The Dashboard remote sync toolbar now settles back to the current remote status after syncs overlap. Before this fix, a project could clear its pending remote metadata while the button stayed disabled as Syncing... until reload; now the sync response updates the remote-status cache and status refetches can move the toolbar back to Clean / Sync Project without a page reload.

Remote status polling now runs only while the server reports sync_status=syncing, so a blocked concurrent sync response does not leave the UI stranded on stale in-progress state.

Verification

• (cd apps/dashboard && bun test src/lib/project-sync-status.test.ts) — 12 pass
• bun --filter @agentv/dashboard test — 83 pass
• bun --filter @agentv/dashboard build — pass; rebuilt Dashboard dist before browser UAT
• bun run lint — pass
• Push hook also ran bun --filter @agentv/core typecheck && bun --filter @agentv/phoenix-adapter typecheck && bun --filter agentv typecheck and biome check . — pass

Red/Green UAT Evidence

• Red: original dogfood evidence on av-fis showed dashboard-project-after-sync-settled.png stuck on Syncing... despite /api/projects/av-fis-dashboard/remote/status returning sync_status=clean, dirty_paths=[].
• Green: with this branch, a temp project/results repo with dirty metadata showed Sync Metadata; after clicking it, the UI settled to Clean / Sync Project without reload and /api/projects/project/remote/status returned sync_status=clean, dirty_paths=[].
• Green screenshot path from this session: /tmp/age7-final-green-clean.png.

Post-Deploy Monitoring & Validation

• Validation window: first 24 hours after deploy; owner: AgentV maintainers watching remote-sync dogfood/production feedback.
• Watch browser/API reports for terms: Syncing..., sync_status=syncing, remote/sync, remote/status, Results repo sync is already in progress.
• Healthy signals: after a remote sync POST completes or a status refetch returns clean, Dashboard project rows show Clean and the sync button is enabled with Sync Project without reload.
• Failure signals: user reports or screenshots where remote/status is clean but the toolbar button remains disabled as Syncing... for more than one poll interval.
• Mitigation: reload clears the UI state; if reports recur, temporarily increase status refetch visibility/logging around /remote/status and revert this PR if polling/cache hydration causes unexpected Dashboard load.

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