https://www.lawforseniors.org/how-government-works/282-freedom-of-speech-what-it-is-and-what-it-isn-t
"The First Amendment protections apply to government actions. They do not apply to private businesses. You have no free speech rights in your workplace. Your employer is entitled to enforce prohibitions against political speech, religious speech and profanity. If you have a bumper sticker on your car that your boss deems offensive, he can demand that you remove the bumper sticker or face dismissal. Private employers can ban political discussions and clothing that expresses political or controversial views.
As with employers, the First Amendment does not apply to restrictions imposed by a private business. A store, restaurant, or other business can ban patrons who violate their company policies by wearing clothing with profanity, carrying picket signs or posters into the business, screaming profanity at employees or customers, or giving soapbox type speeches. Private business has the right to refuse service to customers it deems offensive, so long as there is no sexual, racial or religious discrimination. "
Just providing the actual Law… no opinions here.