The two bodega coolers of premixed, canned cocktails, wine and beer at BABS Comedy Club will soon be replaced with a full bar constructed by the club’s owner. Over a year-and-a-half after BABS Comedy Club opened in Forest Park at 7316 Madison St. in October 2024, the owner is closing June 22 to build a bar. The venue will reopen at the end of August with a bar boasting an ice machine, soda gun, garnish station, reach-in coolers, a liquor displa…