Your problem is the overlapping flange or lip is gone. So you need to rebuild it. This what I would do.
Take some Kapton tape and place it on the ring part. This will shield it from the solder. You don't want to solder this in any way.
Next you place it back in the slot. Remember the Kapton tape is their to shield that piece from the solder.
You are going to solder a little cap back on the brass piece and file it down. The key is to touch and go on the solder no more than a few seconds you don't want to melt anything.
Remove the tape and you should be good to go.
Inobu