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For planeing... there's a tool out by several manufactures that could do the job without removing the door. I've seen it on TV. The following mfg/distributors have one:
Fein, Sears, Rockwell. I...

In our previous house (California)... no air gap device. Ran hose up under counter as indicated previously in this string... worked great with no drain back.
New house has air gap... water comes...