Bug: Team member list not syncing in real-time without page reload

## Describe the Bug
When a team member is added or removed, the changes are not
reflected in the UI in real-time. A full page reload is required
to see the updated team member list, leading to a poor user
experience.

## Steps to Reproduce
1. Open the application
2. Add or remove a team member
3. Observe that the UI does not update automatically
4. Manually reload the page
5. Only now the updated team member list appears

## Expected Behavior
Any changes to the team member list (additions or removals)
should be instantly reflected in the UI without requiring
a page reload.

## Actual Behavior
The team member list remains stale after changes are made.
The UI only updates after a full page reload.

## Impact
- Users are unaware of team membership changes in real-time
- Requires manual page refresh to see current team state
- Poor user experience in a collaborative environment

## Possible Solution
Implement real-time synchronization for team member updates
so that the UI reflects changes instantly without a page reload.

## Screen Recording
https://github.com/user-attachments/assets/46e4cdf8-63cb-474d-96ad-931c0ab73d90