HELP FIX A NEWLY WARPED OAK MISSION STYLE CLOCK FACE

LAST WEEK THIS 110 YEAR OLD OAK FACE/DIAL WAS PERFECTLY FLAT & IN PERFECT CONDITION.
THE DIAL FACE WAS OFF WHILST I WAS SORTING OUT THE PENDULUM HANGER SPRING
I AM HAVING TROUBLE LOCATING MY MAINSPRING PUNCH THE FACE/DIAL ACCIDENTALLY GOT LEANED AGAINST SOME DAMP CLOTHES FOR A FEW DAYS AND WARPED.
THE FINISH ON THE FRONT DOES NOT SHOW ANY DAMAGE & IS STILL SMOOTH
HOW CAN I GET IT TO GO BACK TO BEING FLAT?
I HAVE IT LYING ON A SLIGHTLY HEATED FLOOR AT THE MOMENT
SHOULD I PUT A PIECE OF WOOD ON TOP AND ADD A LOT OF WEIGHT?

PIC 2

PIC 3

Steam iron a couple blocks of wood and some clamps
steam from back. two pieces of wood top and bottom .Clamp to wood table. Work out slowly turn clamps slowly.When done leave clamped for a few days.
Dial looks to be maybe thee pieces glued together/
Easy fix go slow ,steam the part that's warped first

Thanks for the suggestion Thomas.
I don't really have any suitable clamps.
Steam? It's moisture that got me into this mess in the first place.
At the moment, I have it laid on it's back on the heated floor with some cardboard protecting the dial & some weight (about 22lbs) on top of the cardboard.
The floor stays at just above room temp.

Might work just keep adding weight and let it dry out. steam just makes the wood pliable so bending without cracking the seams.

Hi Thomas,
Thanks for the replies.
Just thought I'd let you know, the warm floor did the trick, Looks almost perfect now and none of the front separated or cracked so far.
Cheers, Rod