Pulling the pivot plate with the gun assembled was one way the Thompson gun was to be sabotaged before being captured.
So, you basically sabotaged your own gun.
The old manuals simply said, that if the pivot plate was removed with the gun assembled, it needed to be returned to the factory for "repair".
The best first attempt is to get some larger nails and attempt to push them through the frame hole and through the parts.
Jiggle them around until you capture the parts with the nail, then get a bigger tapered end pin and push it into the hole as you remove the nail.
If you get the parts re-captured with a big enough pin, you can ease the frame off the receiver.
You don't need to worry about the safety, just leave it out, there's nothing inside the safety holds in place. Just worry about the selector switch hole and the internal parts that are held by it.
If this doesn't work, about the only option is to GENTLY ease the frame off the receiver and try to "pick" the parts out or get back into position.
DO NOT get frustrated and start yanking on the frame. This WILL damage the internal parts, if not the frame or receiver.