Fun fact, snakes' adaptations to their feeding style are actually not about the way the jaw hinges. Instead, their lower jaw is two separately moving bones held together with stretchy ligament tissue so that each side of the mouth can be "walked along" the prey item separately.
So the chef could eat the burger... but would follow along its longest dimension to do it, laying it down sideways.

you don't have to eat it whole

!mrlovenstein@sh.itjust.works

https://m.youtube.com/shorts/Y1B4JTGIbfc

I like tall burgers. I've eaten one with two pounds of beef (8 quarter pounders, almost a kilo) with cheese on each patty, a pound of bacon, a whole tomato, and a bunch of onion and lettuce, all on a standard size bun. It also came with two kilos of chili cheese fries. 10/10, would eat again.

I thing going layer-by-layer is the best strat here.