Warped parts

So I’m jumping into Dragon’s Maus (dang that’s a lot of suspension!). The hull top is badly bowed. How would you go about correcting this?
I’m considering using the side panels, cementing a little at a time from front to rear. And/or adding some supports inside like pillars. I’m hesitant to heat the part in warm water for fear of getting a twist or some other inconsistencies in such a large plate. Thoughts?

They’re all bowed, it seems. I haven’t tackled mine yet but I was just going to force it through careful cementing.

Once it is glued onto the side pieces, it should be pretty straight. You probably won’t even need any additional supports.

Gluing it onto the side pieces bit by bit with liquid cement will straighten it out.

The sides should straighten it out but I don’t think it would hurt to add supports…

I have three other Dragon kits that are warped.
My solution was to throw them in the corner and buy Tamiya.
Problem solved.