[Feature Request] Sync connectors and skills between Claude app and Claude Code

Bug Description
Feature request: sync connectors and skills between the Claude app and Claude Code.

When I add a connector in the Claude app (I added Apify), it doesn't appear in Claude Code in the terminal — even though I'm signed into the same account. Some app connectors (Gmail, Calendar, Notion, etc.) do show up in the terminal, which makes the gap more confusing, not less: it looks like partial sync with no indication of what will or won't carry over. Skills have the same split — app skills and terminal (~/.claude/skills) skills are separate with no bridge.

Requests:

1. Sync connectors/skills across the app and Claude Code under one account, or at minimum make it explicit which ones are shared.
2. Surface newly-added app connectors without needing to restart the terminal session.
3. Show, somewhere visible, why a connector/skill isn't available in a given surface (e.g. "cloud-only," "not enabled for Claude Code").

Context: as a non-engineer building on Claude, the two-surfaces-one-login model is unintuitive — I expected everything I set up to just be there everywhere.

Environment Info

• Platform: darwin
• Terminal: Apple_Terminal
• Version: 2.1.218
• Feedback ID: 91e5e32b-68ad-4014-92bb-3dc88a59de7a

Errors

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