A dehumidifier is pretty much the only way other than stripping the carpet out. If you can lift the sill trims and wedge something in between the carpet and the sill that will help suck moisture from the foam.
I have one which I rotate between the various projects-in-waiting to keep them dry. If you don't have one, look for one with a proper compressor in it (like a fridge motor). The peltier ones are next to useless.
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