Draft: Remove teamedit

CONTINUED HERE: !1810 (closed)

Preparations to remove the 'edit team' dialog in favor of dynamic team list functionality.

To add people to the team, click on the cog icon to enable store management mode, there should be an input field that we can hook up to a backend functionality of adding one user to the team.
Not even sure an autocomplete is needed there, but it could also be built.