120mm aio in that pc. Figure equitable to Corsair H55/H60. If lucky, there's a second fan in the intake. 4.3GHz is about as high as reasonable on the older gen cpus and still maintain decent temps on the 140w cooler range like the 120mm or budget coolers like the hyper212. 4.5GHz is pushing the limits as gaming temps will be closer to 60-65°C. Really needs the next size up, a mid grade cooler like the Cryorig H5, NH-D14 etc or a 140mm aio to bring 4.5GHz gaming back into the mid-high 50s and for low-mid 50s you'd need the larger coolers 240/280mm aio or Cryorig R1, NH-D15S etc.
But that's all dependent on budget, and case dimensions. 240mm aio won't be a problem on that case, but a 160mm tall good air cooler just might not fit.