Repairing damaged imitation wood-grain surface


Pulled an adhesive size label off a new shirt and put it on the dresser (imitation wood-grain finish on MDF) sticky side down. Other stuff got put on top of it. Picked up label and a couple of spots of the finish came with it.
Any idea if it's possible to reattach the oh-so-thin film if I can detach it from the label without damaging it too much? What would you use?
Perce
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Not likely doable.
What would you use?
Matching touch-up marker for furniture, available at most big-box stores.
BTW - get used to the 'finish' peeling and scratching - even from high humidity!
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