Let's try the Due Process Clause of the Fourteenth Amendment:
nor shall any State deprive any person of life, liberty, or property without due process of law.
Chipotle may decide who may do what on Chipotle property. People may decide whether they want to go on Chipotle property.
Chipotle isn’t a person it’s a corporation, regardless, no person or corporation can legally limit the rights of people on their property beyond what is specifically allowed by law, such as smoking regulations for example. As an individual your power to regulate peoples constitutional rights is limited to asking them to leave your property, or barring them entry. As a corporation running a business that is open to the public the legal ability to bar entry is legally limited as is their power to regulate behavior. As an example, in the State of NH, a business can’t legally deny entry or service to someone simply because they are bearing arms. There is nothing illegal about them posting their property with a sign asking people not to carry, and there is nothing illegal about people ignoring the sign.