Water damage on wood veneer
I would use caution with whatever you do there is particle board behind that and if it swells up if it hasn’t already it may be tough to repair without a commercial steamer.
I have used a damp towel and an iron to fix flood damage like this. The trick is to get the veneer damp and hot it becomes almost like pasta noodles I then use a wood glue and saturate the back side (the wood glues I use are water based).
After glueing and making sure I have enough weight pushing on the surface to hold it let it dry slowly a fan can help but don’t add heat that causes the veneer to  pucker unless really clamped.
I have used this method in both homes that the kitchen flooded and to recover some 20’s furniture that the owner wanted fixed.
With a little patience you may be able to bandaids this, I say bandaids because I have not had good luck with particleboard after a flood.