Is there a gentle, non-irritating cleansing milk that can even cleanse blackheads?

I recently had a skin diagnosis for the first time in quite a while,

I heard that my skin is very thin and vulnerable to irritation.

I am currently using Bioderma cleansing water,

Since using cotton pads itself can irritate the skin,

I heard that using cleansing milk is better for the skin.

I don't think water will be effective for managing blackheads.

I use oil sometimes, but I was told not to use it as much as possible...

So I was thinking of trying Bioderma Cleansing Milk,

The opinions on the reviews were divided.

I heard that there is skin trouble immediately after using it.

I'm hesitating to buy it right away.

If you happen to know of a gentle cleansing milk that even cleanses blackheads, please share the information!