Which glue should I use to bond glass to dense cardboard?

I’m trying to repair the frame on my mother’s picture. She’s deceased and this is the only picture of her I really like. I don’t want to mess this up.

Photo is 4″ X 6″. Frame is about 6 1/4″ X 8 1/4″.

The frame is beveled glass. The backing is dense cardboard and is now detached. I have to glue it back on. I don’t have to worry about the glue showing through the front, because of the layers of glass. The old glue lines still show on the back.

Which glue should I use??

ANY advice will be much appreciated.