Part of OP's dilemma seems to be that they feel the need to work alone but don't let their team work alone (i.e. in a secluded environment), so they're trying t

Part of OP's dilemma seems to be that they feel the need to work alone but don't let their team work alone (i.e. in a secluded environment), so they're trying to reconcile those two things. That seems like a broader problem than just needing some alone time to concentrate.