I came across a situation that I have a question about while playing tonight. I had a Batman in the front row and Batgirl behind him in the support row. My opponent gave flight to his Thing and attacked my Batgirl. When given the priority I played Combat Reflexes and moved my Batman to the support row. Can I use that Batman to reinforce Batgirl, or is that not legal since I wouldnt be able to add the reinforcement effect to the chain until after the Combat Reflexes resolves? I'm guessing I couldn't put a reinforcement effect on the chain before the combat reflexes effect since the Batman is not yet a support row character. Otherwise it would mean that the combat reflexes would resolve before the reinforcement effect resolves.

It would be legal to reinforce Batgirl with Batman after Combat Reflexes resolves (assuming you moved Batman to the support row adjacent to Batgirl).