BOO!
What you NEED is one of these:
https://www.amazon.de/-/en/Navaris-F...s%2C233&sr=8-7
I'm convinced that cast iron cookware was invented by a bachelor. You can clean it, but cleaning really defeats the purpose. Just wipe the crud out of it.
BTW, my burgers for my weekly "Friday sliders" start out with preformed patties I get at the local grocery. Bigger than 1/4 pound patties, they are closer to 1/3 of a pound of non-lean ground beef.
All I add is a slight dusting of Goya Sazon (Con Azafran / safron) to enhance the flavor and some generic "trail dust" (either hickory or mesquite) to add a more unique flavor. Then into the (covered) preheated pan for 20 minutes of frying goodness.
Rolls- Your call, I prefer something fresh but generic.
Then, topped with ground pepper, "white cheese" (my goal was to revisit Navy Sliders so you don't want to get too fancy, but you can also cheat with a slice of Provolone or Swiss), dill pickles or picked hot peppers, and some mustard and ketchup.
Boom. That's it and its really all you need but an artery clogging portion of fries might come in handy.