Agree with the dairy industry being horrific. I also agree you should try to cut it out for at least a few weeks completely and see if it helps your skin condition. For me, it cleared up all my (b)acne, my nails got stronger, my chronic post-nasal drip disappeared and my digestion improved. You need to cut out ALL dairy to test this though, not just the obvious - cut out milk, cheese, yoghurt, yes, but also check every crisp packet, loaf of bread, pasta sauce, supermarkets like to sneak milk into everything!
I also recommend Oatly Barista (grey carton, in the long-life section) or making your own (you just need a blender - but admittedly I don't love homemade oat milk in my coffee so only use it for cereal, porridge, etc.).
Oat milk is environmentally one of the best and it's very good nutritionally.
I am quite stunned that people still think that without milk you won't get enough calcium. That was a marketing ploy decades ago! Try green veg, tofu, kidney beans, tomatoes, nuts, to name a few (without the added cholesterol). Milk is also known to increase your chances of osteoporosis, not the other way around. Considering many studies are funded by those who benefit from it, and don't have to publish their findings if they don't, it's unsurprising that the massive dairy industry doesn't talk about it, but I heard of it years ago so it must have been in the news at some point - I remember it saying that basically countries with a lower/no dairy intake have significantly lower osteoporosis rates than those with a higher dairy consumption. Somehow it was depleting calcium stores, or perhaps the wrong type, or something - I can't remember exactly but if you still consume dairy then it's worth looking into.