This one is going to be a btich without some scaring. Get good with your sawall or oscillating cut off tool and go after the screw. Pop it out with a punch and epoxy a stud onto the cab like Dad911 suggested. Have your wife pull on the handle and get at that screw. Its only about 3/16. I more then likely metric on the new one so be mindful of that when you go and buy the screws.
This will minimize damage to your stain grade cabinets
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