Sharing @Docs between teams does not show up as a candidate

I am enrolled in a business plan.

I registered in @Docs with “SHARE WITH TEAM” enabled, but it is not added to other members’ @Docs candidates.

For example, if I register “A_Docs”, I have to type @A_Docs directly.

This means there is no way to notice if one of the members registers @Docs. Do I need to manage this separately from Cursor?