Publish to Teamcenter from Capital is always being made with the User Group which the user selected for himself in a previous session
The User Group considered for the publish, is the group that user has selected for himself in a previous session.
To change this, before publishing, open embedded browser and confirm if the group selected for the user is the one intended to use.
If not, the group can be changed in embedded browser. The latest selected group takes effect for subsequent publish