Set Anova Sous Vide Precision Cooker to 133°F / 56.1°C
Combine short rib and chuck, and form 4 patties.
Place two slices of cheese on two of the patties.
Combine two patties, one with cheese and one without, into one patty and seal edges with fingers until patties are formed. Season with salt and pepper.
Place in resealable ziplock bag and submerge in water bath for 2 hours.
Remove burgers from bath, pat dry, and rest for 10 minutes.
Heat cast-iron skillet over high heat, sear burgers for 1 minute per side.
Slather mayo on bread, add pickles, and place patty. Enjoy!