This is not ideal, but here is how I would do it. Remove carpet, baseboards and prepare to pour 3 inches of concrete on top of the slab. Pex secured to existing slab.
You need a minimum of 3 inches for a concrete pour to be firm and not to crack.
Now shave 3 inches off doors, etc . . .
Steve
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consulting on geothermal heating/cooling & rational energy use since 1990
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