Yes, you're not opening the watch nor damaging it.
I like the loop kind, personally. Those you have to put the watch inside, push the button, and slowly draw the watch out until it's a yard/meter outside the loop.
But the reason I suggested the watchmaker... you don't have a timing machine, I expect, and sometimes it takes more than one zap to do it. So maybe have the watchmaker try it first and if it doesn't change anything, then you're looking at warranty repair.
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