I have a team. They are my team.

I don’t tend to refer to them as “my team” verbally or in writing normally saying “the team”. At least in front of them.

They though refer to themselves as being in “Peter’s team”.

They are a brilliant team of very capable normal adults and I like them a lot.

They're not your team, you don't employ them, you don't own them and you're not responsible for them. They are fully grown adults and don't see themselves as being owned by you. You're just an employee and a number who the company could sack any time they like, the same as them.