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In order for you to have even an upper temporary denture you would have to have the surgery to remove the teeth in the upper left. So it would make sense to have only one surgery and have the 2 teeth and the root tips all removed at one time. You do have a few medical history factors that make the removal of teeth more challenging. The artificial valve requires antibiotic prophylaxis and I'm assuming you are on Warfarin or some other blood thinning that will require accurate INR levels before proceeding. The diabetes and the artificial valve would be risk factors in favor of removing the remaining teeth to avoid septicemia and potential infective endocarditis.
I should also let you know that wearing a denture with those conditions are going to be more challenging due to tissue dryness and rubbing on a removable appliance. So you may need implants to restore your function more adequately. Does this make sense?