ClawHub search does not indicate installed skills (global registry)

[yanniszhou]

Summary

After installing a skill from ClawHub via Enterprise settings, searching ClawHub again still lists the same skill with no "installed" state. This is confusing and suggests the install failed.

Current behavior

• GET /skills/clawhub/search proxies ClawHub only; results do not include tenant-local install status.
• Enterprise ClawHub modal removes the row from the list only in current React state after install; a new search shows the skill again with a normal Install flow.
• Agent Browse ClawHub modal always shows an Install button and does not remove or mark installed skills.

Expected behavior

• Search (or detail) should reflect whether the skill is already in the tenant global registry (and optionally per-agent workspace for agent-level import), e.g. installed: true or disabled Install + "Installed" badge.
• Prefer resolving against DB (Skill / source_url / slug) after ClawHub search returns.

Suggested scope

• Backend: enrich /skills/clawhub/search (or a parallel endpoint) with install flags for the current tenant.
• Frontend: Enterprise settings + Agent detail ClawHub modals consume the flag.

Notes

Not a crash; UX / feature gap unless product spec already requires installed indicators.