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Well, I'm stumped. Everything I've heard from people doesn't point at a specific cause, and I can't find any flaws in the scripting or recreate the issue on my end.

To double check a few things:
You may be able to move your squads anyway if you go all the way up into the top left hand corner. If you can move them (or if you have moved them away from the corner), make sure they're exactly in the corner and try ending the turn with all three up there.
If you can't get all the way up there because Melissa stops you, you may just not be quite to that point yet and you need to visit Lothario first. Your squads should appear properly after that point.
Make sure the patch is properly applied. When you extract it inside the main game folder, you should have received a prompt to overwrite a file named "Map673.json" in the data folder. If you weren't prompted, make sure that file is in the correct folder.

As an alternate solution, if you got the Clown Nose from Arrival and carried your save forward, it gives you access to a debug feature. The debug feature summons Punchinella, who does the same thing the patch does, but on demand. The patch can only be applied to the Windows version of the game, so if you're on MacOS or are trying to run the game through an emulator on mobile like JOIPlay, that may be the source of the issue. In those cases, the debug feature on Punchinella will still work.

And as a last resort, you can try loading your save into an online save editor and fixing the squad location variables manually. I don't recommend trying this, because editing your save can result in bugs like this one and make the save unusable, but if you know what you're doing, it can fix an otherwise unsalvageable save.