Does a low battery charge stop the air conditioner compressor from working?

What is your question?

My AC stopped blowing cold air in May. I took it into the dealership and they found a leak. They recharged the AC and it worked fine. This morning it was working fine but then the car started to shut off. The battery will be replaced next week, but now the air compressor will not come on. Only outside air blows, even when I turn on the AC.