Everything is possible with some guys unfortunately, I found once double sided tape to hold a train bridge...
Any picture of the watch? Off the top of my head, 2 possibilities:
Usually, with a round three part case and snap back, the movement is secured by two screws at the back and comes off from the front after removing the bezel and the crown. Sometimes it is tightly adjusted. What I do not understand is "lifting the crown"... so maybe the casing is different from what I imagine.
Also if the case is made like the small rectangular watches, you have a stamped hollow steel back (the movement+dial is simply pushed into it) snap fit into the front. In this case, lifting the crown may work when it is loose but the stem can break. Better lift the movement, there are usually steps on the side of the mainplate to provide some grip with some flat small tool (the back is adjusted so that it rests against the step). Hope I make sense, it is hard to describe a casing with words...
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