I would like to ask whether the mobile car wash in the community will be managed.

This depends on the strictness of your property management. If you are also a resident of the community, as long as all the work is done properly, there is nothing they can do. For example, car washing can't make waste water all over the floor, so you need to enclose the car with a waste water collection pad, collect the waste water from car washing and pour it into the sewer after washing. As long as the security department affects the appearance of the community.