## What does this PR do?
Optimizes team and organization admin checks by:
- Removing unnecessary member data fetching in profile repository
- Simplifying team admin verification query to directly check membership
- Refactoring organization admin check to use the optimized team verification method
## Mandatory Tasks
- [x] I have self-reviewed the code
- [x] I have updated the developer docs in /docs
- [ ] I confirm automated tests are in place
## How should this be tested?
1. Log in as a team admin/owner
2. Verify team admin privileges still work correctly
3. Log in as an organization admin
4. Confirm organization admin permissions are maintained
5. Check that admin-only features remain accessible
Expected behavior:
- Team admins/owners should retain all their existing permissions
- Organization admins should maintain their administrative capabilities
- No degradation in admin functionality while improving query performance
## Checklist
- I haven't read the [contributing guide](https://github.com/calcom/cal.com/blob/main/CONTRIBUTING.md)
- My code doesn't follow the style guidelines of this project
- I haven't commented my code, particularly in hard-to-understand areas
- I haven't checked if my changes generate no new warnings
