Can placing the watch on a magnetic toy damage it?

So silly question, but I noticed that when my daughter hid my watch under her toy, it had gained a few seconds. Watch was gone for like 6 hours?Playing around, I discovered the toy has a pretty strong magnet inside of it, and when the watch was placed on it, it would go from -1spd to +10-30 spd depending on the position.

So here's the thing, I'm OCD about unscrewing the crown and resetting the watch as I like having the minute hand line up perfectly with the notches. If I rest my watch on this toy overnight daily to speed up the watch, can it damage the inner workings long term? There is some slight magnetization I can detect on my phone magnet app in the morning, but by afternoon it's back to normal.

Updated for clarification. The watch in question is the Seamaster NTTD, is METAS antimagnetic.

This is funny.
No, the magnetism won't damage the watch. But if the magnetism doesn't go away by itself (which is an interesting and somewhat unusual observation), you may need to demagnetize it. That's literally a 10sec procedure at a watchmaker with a professional demagnetizing tool. Or you buy a cheap Chinese "blue box" - they usually work, but require some practice to use effectively.

Ahh, fair point. Updated original post. It's the Seamaster NTTD so should be fine by a toy magnet I'd assume.

No risk.
But interesting observation that it does temporarily react to the magnet.

Modern omegas have silicon hairspring (321 is exeption), not affected by magnets, no need to demagnetize.