randomly generating pair of two people from team and scheduling the meeting every week | python

I have dataset of team member and manager. I have build a paired combination of people for meeting every week. Condition 1: team members should meet from different teams every week Condition 2: it should exclude the people which already paired from previous week.

Dataset

My Desired output should look like,

Bill + Bob Week 1

Pia + Ronnie Week 2

Any help will be much appreciated. Thank you