[FEATURE]: Auto-reconnect remote MCP servers when disconnected by idle timeout #15247

Feature hasn't been suggested before.

• I have verified this feature I'm about to request hasn't been suggested before.

Describe the enhancement you want to request

I use the desktop app. Remote MCP servers get disconnected by the server-side idle timeout after being idle for a while, and the status bar in the top right turns red.

Current experience:

• See red status → click to see which one disconnected → manually toggle the switch to reconnect

Expected:

• Auto-reconnect when disconnected (with optional retry limit)
• Or add a keepalive mechanism to send heartbeats during idle periods

This would remove the need for manual intervention each time.