Hard to make out much from your photo as it is a bit dark.
However, I looked at my Stern games and I did not have the same "flap" yours has. Might be ether:
- My games are newer and the transformer is slightly different.
- They get their transformers from multiple suppliers and they are slightly different.
- The "flap" has migrated out of position.
So the first thing I would do is see if it feels loose, try and slide it back into the transformer. If that does not work then I would epoxy it down. I work in a motor shop and we use many of the same materials that transformers use (silicone steel, magnet wire, mica tapes, dip resins/epoxy) we use epoxy on the windings all the time so there should not be any real concern about compatibility issues (the epoxy attacking any of the materials).