You have the right to decide what you will or will not do in that business.
But pending a decision from the Supreme Court, and depending on which state you are in, you do not have the right to deny service based on race, sex, religion, age, disability, sexual orientation, and probably a couple of other classifications as well. That may change this summer.
These are natural rights. If they are denied then the government is in the wrong.
A government that is repeatedly in the wrong is one that needs to be changed.