Code Review Bench PR #26717 - refactor: Remove trpc/server dependency from @calcom/atoms

[tomerqodo]

Code Review Bench PR calcom#26717

Original PR Title: refactor: Remove trpc/server dependency from @calcom/atoms
Original PR Description: ## What does this PR do?

• Decouples the atoms package from trpc/server

Impact

Summary of Changes

Type Migrations:

• Moved Slot type to @calcom/atoms/booker/types (removed from trpc/server)
• Added GetAvailableSlotsResponse type with SlotInfo to booker/types.ts
• Created local types in hooks/schedules/types.ts:
  • Schedule (with userId for create/duplicate handlers)
  • CreateScheduleHandlerReturn, DuplicateScheduleHandlerReturn, GetAvailabilityListHandlerReturn
  • CreateScheduleInput

Import Updates:

• Updated useAtomCreateSchedule, useAtomDuplicateSchedule, useAtomGetAllSchedules to use local types
• Updated useAvailableSlots.ts to use local GetAvailableSlotsResponse

Config Changes:

• Updated Biome rule to block ALL @calcom/trpc imports (not just @calcom/trpc/react)
• Removed trpc paths from atoms tsconfig.json
• Updated package.json exports

Updates since last revision

• Fixed TypeScript operator precedence issue in GetAvailabilityListHandlerReturn type: wrapped intersection type in parentheses so [] creates an array of the intersection type rather than an intersection with an array type (addresses Cubic AI review feedback)

Mandatory Tasks (DO NOT REMOVE)

• I have self-reviewed the code (A decent size PR without self-review might be rejected).
• N/A - I have updated the developer docs in /docs if this PR makes changes that would require a documentation change. If N/A, write N/A here and check the checkbox.
• I confirm automated tests are in place that prove my fix is effective or that my feature works.

Original PR URL: calcom#26717