[Routine Help] Help with routine/products for someone prone to hyperpigmentation and just got my flat moles lasered

Hi everyone! So as the title says im prone to Hyperpigmentation, it just so happened that 4 days ago i got some of my flat moles lasered. My doctor recommend I use Alhydran medical after care for the healing (I live in the Netherlands, I believe this product is only sold here?). However, I really want to avoid my skin hyperpigmenting during the healing, For context my skin is pretty dry but I have an oily forehead and nose, however even when its oily i still get skin flakes, I was told this is because my skin is very dry and my body starts overproducing oil? Im pretty new with skincare so Im currently using: \- Cerave foaming oil cleanser \- Snail mucin 96 Cosrx \- Hydrating rice mask Cosrx (that I use as a moisturizer) \- Beauty of Joseon sunscreen Could anyone recommend me any products that might help stopping hyperpigmentation so that I can use together with the Alhydran? Any recommendations on my overall skin care routine are very welcome as well! Thanks a lot in advance and I hope you have a nice day :)