Correct. It is definitely NOT Joe Biden who is running anything. My "educated guess" is that Barack Obama is involved.
As for Biden 2024, I suspect that the DNC is going to rid themselves of him and choose somebody else (Gavin Newsom?)
Biden will eventually proclaim something along the lines that he is "dropping out" because he is "too old" (thus, TRUMP is "too old", wink wink) and that he is taking said action "for the good of the nation", "passing the baton" along to "the next generation" of "younger people" (aka Gavin Newsom).