I don't think you need to do anything. Just take the name off and print the final docs in just the two remaining names. Depending upon the collateral, if any, if the borrower who wants out owns all or part, that borrower will still have to be a grantor. You said "refinance." Is the bank OK with letting the the third borrower off the loan?
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The more you sweat in training, the less you bleed in battle.......