[Feature Request] Add custom session naming with terminal integration support

Bug Description
session naming would be amazing! ideally also using a sessions name in combination with the terminal name (e.g. iterm)

Environment Info

• Platform: darwin
• Terminal: iTerm.app
• Version: 2.0.55
• Feedback ID: 26f0619b-2be8-4a66-80e1-dd54eeb7c8f6

Errors

[{"error":"Error\n    at dU (/$bunfs/root/claude:27:1143)\n    at <anonymous> (/$bunfs/root/claude:32:10086)\n    at emit (node:events:92:22)\n    at endReadableNT (internal:streams/readable:861:50)\n    at processTicksAndRejections (native:7:39)\n    at request (/$bunfs/root/claude:34:2147)\n    at processTicksAndRejections (native:7:39)","timestamp":"2025-11-27T21:42:02.569Z"}]