Don’t give up your day job
You have officially failed Constitutional Law
Try READING the 25th Amendment which lays out the procedure for filling a vacancy in the VP office. The President nominates a VP and the nomination must be approved by the House and the Senate.
This is different that Presidential appointments of Judges and Ambassadors which are confirmed solely by the Senate.
I have taught Constitutional Law over the years as an adjunct professor. You get an F.