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the hada labo cleanser never worked out for me but i can tell you that the cow brand foam cleanser in a pump (amazon link) has the same liquid to foam mechanism. ive used it for years now and its never been drying, just feels like skin after i rinse it off. i have combination skin for reference
Sadly, no :( I've only ever seen the new one since the reformulation rollout. Unfortunately, I think a new cleanser might be in order.
Cow Brand Mutenka Foaming Cleanser has an ultra-short ingredient list -- even shorter than Hada Labo 2010. There is also a Moist version.
These are the safest I could think of. Admittedly, these are very boring cleansers. You might also want to check out a recent HG thread for more recommendations.
Cow Mu Tenka Foaming Cleanser! https://www.amazon.com/Gyunyu-Additive-Foaming-Facial-Cleanser/dp/B001R23TU8