Jake Gyllenhaal has some big shoes to fill. The Academy Award-nominated actor will star in a reboot of one of Patrick Swayze’s most beloved movies. The 1989 cult classic “Road House,” in which the late-’80s and ’90s heartthrob played a psychology degree-holding bar bouncer in small-town Missouri, is getting revived for Prime Video. According to The Hollywood Reporter, “Swingers” director Doug Liman has been tapped to helm the rough-and-tumble project, which will be produced by Joel Silver, who backed the original. “No Time to Die” star Billy Magnussen, “Euphoria “’ actor Lukas Gage, and Daniel…