As it appeared for me - the problem returned back so I googled what else I can do. There was a suggestion to clean the motors inside - especially the commutator and brushes. But the motors were different from what I have, so needed to figure out how to get inside.
The pieces are connected mechanically, creating a lock to keep them together:
It appeared to be easy to pop up the upper part with a small screwdriver put into a hole between the plastic part and the main body:
Im my case there wasn't any rust, just oil mixed with graphite from the brushes, making the commutator non-working:
I used WD40 contact cleaner with paper and Fiberglass Scratch Brush Pencil to clean the commutator and brushes:
Be careful and don't lose the white plastic ring - it keeps the lamels together and the motor cannot be used without it:
Then I assembled all parts using some superglue on one of the motorts (the one where I damaged the locking parts on a metal body, while tried to figure out how to disassemble it).
The second motor where I used a screwdriver from the beginning to pop it up - the parts are attached securely.
In the end I cleaned all the plastic gears and applied a silicone grease for plastics rubber seals:
It's been a few days already and all work smooth and fast.
The only issue I had from my very first attempt - I have auto dimming mirrors, so after the reinstalling them into the mirror body I have non-working spots where I pushed the mirrors to fasten them.