Figma design - Figma Prototype
Team Picker
Users would be able to search all teams by using the dropdown on the top right.
This dropdown contains all teams (no limit, no lazy loading, as we already have the teams loaded in the LHS, so we probably have data for all teams).
The dropdown will have a max height of 320px.
The team the user is on gets selected by default.
This dropdown resets back to the selected team when you open it again, thus your selection is not preserved.
The user can choose a team by clicking on that dropdown.
If the user changes the team in the RHS dropdown, the search is reinitiated.
Mobile
We would have the same behaviour on mobile.