How to give notice with a surgery scheduled?

I work from home and have light duties currently. I have a surgery scheduled with approved time off. However, I was given an opportunity with another company in which I negotiated a start date after my surgery. Therefore, if I give notice to my current employer, the surgery would regardless fall inside the 2 week notice window. I am taking a Wed-Fri off. What’s the best way to do this? Do I make my last PTO day (Friday) my official last day? Or should I make it Friday the week after which happens to be the week I was planning to use as a recovery just in case.

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