Oatly is widely available, even in the little convenience shop round the corner from me.
However, FUCK Oatly: "Oatly sues UK oat milk maker over trademark" https://www.bbc.co.uk/news/business-57425162
Btw, Oatly lost.
Just noticed you mentioned Tesco. I use Tesco's own brand oat milk for breakfast cereal. Confusingly, they have normal and long-life UHT oat milk. Get it from the fridge section, rather than the UHT stuff from the non-chilled shelves.