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

Stick a fork in each end and eat it like corn on the cob.

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

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

hehehe snake chef