Cleansing oil: do you wash it with water?

You need to emulsify the oil with water. I’m also a double cleanser so I use a water based cleanser after too. After rinsing that I do my toner.

I wash it with water! Cleansing oil >water>facial wash>water

Yes of course. The oil needs to be emulsified first by adding water for the cleansing oil/balm to work effectively. After washing off the oil, you should continue with the second cleanse using your regular water-based cleanser. This method is known as double cleansing. If you don't rinse it off with water, you'd risk having oil residue left on the skin which could lead to clogged pores and acne. It also wouldn't be able to remove/loosen sebum and sebaceous filaments unlike using water, which is one of the biggest perks of using oil cleansers

Of course it needs to be take off with water followed by a foam cleanser.

yesss