There is no problem in closing with carpet, if you don't have a slide. But, if you have a slide, you need to removed the carpet where the slide rests during travel.
I have put some carpet remnants in our KD, and just move the carpet to the "hallway" while towing. Or, I could put it at the feet of the dinette, before I put our cabinet and chest of drawers in there. Plenty of options, especially if you have multiple pieces of carpet.
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