Place the steak in the freezer for 20 minutes to facilitate thin slicing; slice into bite-sized strips.
Heat one tablespoon of olive oil in a large cast-iron skillet over medium-high heat.
Add bell peppers, onions, and mushrooms to the skillet and sauté for 6 to 8 minutes until softened and caramelized.
Remove vegetables from the skillet and set aside on a plate.
Add the remaining tablespoon of oil to the skillet and increase heat to high.
Spread steak strips in a single layer and season with salt, pepper, and minced garlic.
Sear the steak without moving for 2 minutes, then stir and cook for an additional minute until browned.
Return the vegetables to the skillet and toss with the steak to combine.
Lay the provolone slices across the top of the mixture and cover with a lid for 60 seconds until melted.
Divide the mixture into four bowls and serve immediately.