I have assumed that each team member has an apartment of his/her own in the Tower, but that there is a common room and kitchen that they can visit if they want to hang out with others or don't want to cook for themselves. I can see independent adults doing that because Stark Tower must be incredibly luxurious and you know Stark would cut them a deal on the rent.
However, if Stark Tower is set up more like a frat house with real communal living, then I agree with
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