I'm sorry to hear about the accidental damage to your Fold.
Are you sure it's not the factory fitted screen protector that's damaged and not the actual Fold 3 display ?
Did you take out Samsung Care +
If not then as accidental damage isn't covered by the Samsung Linited 2 year warranty then its likely that Samsung will charge for the repair.
Also check any Home Contents insurance and some banks provide mobile phone cover as a perk of the account.
A Samsung Experience Store / Samsung Service Centre will look after you.
Also in some regions and if the phone is eligible Samsung provide a doorstep repair service.
I wish you all the best with this situation.
Current Phone > Samsung Z Fold³ 5G. > Software : Android 12 ~ Samsung One Ui 4.