Perfect, thank you for these.
So you certainly do have quite a few options, and often this is a bit of trial and error to see what works best for you and step up the treatment depending on your response.
The first option is consideration of a contraceptive. Often these acne outbreaks are hormone related, and using a combined pill can often help with these.
That is a hormonal options but you certainly don't have to do that, but worth considering. The treatment you have been using is a good start. However yours appears quite inflamed, therefore I would now consider adding in a Retinoid cream to your daily routine, but given how yours is currently, I would also consider adding in a daily oral antibiotic to get this under control with the view of managing it with creams only.
The antibiotics are used for skin and commonly used for a few months at a time, however this will require a prescription from your doctor. You can use a topical antibiotic instead if you prefer.
You can however start using a retinoid cream sooner which you can buy from many places. A brand I am familiar with is La Roche, Effaclor, however this is not to say there are not a lot of other very good options out there.
I would look into this and either see a dermatologist or contact your GP to consider a topical or oral antibiotic.