And, the 12th Amendment dictates that a vice president can not be selected if they are not eligible for president. So Grand Caliph Baraq is not eligible to be Kamala’s VP.
Kamalalala is not eligible and Obama was not eligible the first time.
The Constitution is irrelevant.
Obama would not be standing for a 3rd election which is what the 22A prohibits. He would be chosen by a majority of both houses — see 25A. Kamala could then resign and then the VP becomes President.