Piano Hinge vs Tee Molding Problem

I have tried to send a couple PM's and they sit in my out box so I'm posting this question. Hello Angib, I’ve noticed from your posts you are knowledgeable in the engineering field. I was wondering if you could figure out what the pivot point/hinge size would be needed to clear the tee molding that overhangs on the hinge side of my doors. Currently I have a 2" continuous/piano hinge and it won’t allow the door to open. I could just guess a 3" hinge would work and that could be the wrong choice. I don’t want to do a surface mount for appearance and security issues. Thanks for your time, Danny . If anyone else has an idea it would be greately appreciated.
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