Biden gets Russia and Ukraine stuck in a quagmire in Ukraine, so Putin retaliates by getting the U.S. and Iran stuck in a quagmire in the Middle East. Wars are won by the countries that stay out of them. The Russia-Afghanistan war played a very significant role in the downfall of the Soviet Union.
The irony is that China is the big winner from all of this, simply by staying above the fray and making trade deals with all the countries that more bellicose superpowers start fighting. When your adversary is making a mistake, let him.
Putin got stuck in Ukraine, not sure what Biden did
His strategy was to give Ukraine just enough weapons to prevent annihilation without giving them so many weapons that would allow them to win. Hence, quagmire. The weapon sales also came with conditions like not allowing them to strike deep within Russia itself, all of which prolongs the war without leading to a clear victor.
But Russia and Putin can end the war at their earliest convenience. Your perspective discounts the agency of the aggressor, places all agency in weaponry (as opposed to the will of the defenders) and doesn't acknowledge that the Biden approach offered a continuous off-ramp that should have been taken. I'm not sure how allowing Russia to not suffer defeat means that they must continue their barbaric war against Ukraine.