This entire fucking fiasco is between Palestine and Israel, who have been fighting constantly since Biden was born and will probably continue to fight long after Biden is dead and gone. Neither side is going magically "go away" and nor should they. Both groups of people have a legitimate historical and cultural claim to live in this land and the choice was made to split this land long before most any of them were even born. The Israeli Jew and the Palestinian Arab Muslims simply have to learn to coexist peacefully and reject extremism or there will only ever be more war and violence.
There is a "simple" solution: free the hostages immediately, turn over people who committed war crimes (on either side) for prosecution, return borders to 1949, create an internationally enforced DMZ, stop illegal settlements, and stop the damn fighting. NONE of that is on Biden, nor is it the singular responsibility of the United States to manage.
Even if you cynically believe that all of this is just some kind of America-backed proxy war (which, if you look at the history of the region spanning thousands of years, it clear is not), then you should at least apply that same logic to the European countries that back Israel as well as Iran, Russia, and the other countries that have backed Hamas and called for violence in the region.