Cover a cutting board with wax paper.
Place the chicken breasts, 1 at a time, on the prepared cutting board and top them with another sheet of wax paper.
With the flat side of a meat mallet or the bottom of a heavy pan, pound the chicken breasts to about 1-inch thickness.
Transfer the flattened chicken breasts to a clean platter and repeat the flattening process with the remaining chicken breasts.
In a large, wide bowl, add the balsamic vinegar, the brown sugar, the steak seasoning, and the rosemary and whisk to combine.
While whisking vigorously, slowly stream in 2/3 cup of the olive oil into the vinegar mixture until fully emulsified.
Add the flattened chicken breasts to the marinade mixture, turning them several times to coat.
Cover the bowl and chill it in the refrigerator for at least 2 hours and up to 24 hours.
In a large skillet over medium heat, add the diced bacon and cook, while stirring occasionally, until crisp, about 5-8 minutes.
Using a slotted spoon, transfer the bacon to a paper-towel-lined plate to drain.
Drain the excess grease from the skillet, leaving a thin layer in the skillet.
In the same skillet over medium heat, add the honey, the Worcestershire sauce, the hot sauce, the black pepper, and the smoked paprika and cook until the mixture boils.
Add the bacon to the glaze mixture and cook until combined and thickened slightly, about 2 minutes.
Transfer the glaze mixture to a clean, large bowl.
Carefully clean out the skillet.
In the cleaned skillet over medium-high heat, add the extra olive oil.
Transfer the chicken breasts from the marinade, shaking off the excess, and add them to the skillet with the hot oil.
Cook the chicken breasts, turning them once, until they reach an internal temperature of 165 degrees F, about 4-6 minutes per side.
Transfer the cooked chicken breasts to a wire rack and let them rest, about 5 minutes.
Evenly pour the glaze mixture over the top of the cooked chicken breasts.
Serve.