Should I let my boyfriend babysit his ex girlfriend's daughter. It's not even his daughter.

my boyfriend broke up with his ex who she has a daughter. my boyfriend got really attached to the little girl. and when ever he cans he wants to babysit her. 2me this just sends wrong signals to his ex. there's no reason for him to babysit a baby who is not his. there's dads out there who don't care about their children and he wants to take care of a baby its not his? I try for it not to bother me so much since its only a little girl. but his w me now and by him doing that shows he hasn't moved on. plus his ex its not over him she's dating someone else and still calls my boyfriend for w.e help she needs like money, and helping her move to her new place and he was going 2help her but didn't cause I told him how the idea bothered me so much. conclusion what should I do about this situation with him wanting to babysit his ex daughter.
Should I let my boyfriend babysit his ex girlfriend's daughter. It's not even his daughter.
Post Opinion