Can I use a “harsher” face wash on accutane?

Trying to prepare myself before I start on 40mg at the end of this month. I am in love with the Trader Joe’s tea tree face wash, if I stop using it for even a day my skin retaliates. It has a lot of different oils in it, like coconut and some random oils I’ve never heard of, but the base is Castile soap (think Dr bronners). It’s drying, but as long as I use a moisturizer after my skin is fine. Will it wreak havoc on my skin during accutane? If so, are there any gentle cleaners that have tea tree that yall would recommend?