What if the property charges parking fees indiscriminately?

You should first look at the terms of the property management service agreement signed with the property management company.

If it is agreed or required that the owner's electric car/bicycle should be parked in the designated area, then you should put it in the carport.

If there is no agreement, then you can't put it in.

I estimate that the reason for the property to do so is either to affect the appearance, as well as customer complaints.

In fact, if it is not very strict or relatively humanized management, this need not be too serious, and can be resolved through consultation with the property company.