Female perspective here. Only thing that cleared up horrid acne in my teens was a long term prescription for low dose doxycycline. I reckon I was on it for 2-3 years.
Then I went on the Pill, which is obviously no good if you are male. My acne was worse than the pic you showed & all over my jawline, upper chest and back. It cleared up beautifully. Just as well, it was painful and embarrassing.
Note - I was already on a very good healthy diet and drank loads of water….that still did nothing for my skin.