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These are expressly & specifically about consumer protections against discrimination within a private business that offers a public accommodation. 51 specifies who, what & where; 52 lays out the why & how[much] in monetary damages. For anyone bold, patient & litigious enough:

CA Civil Code 51 - https://leginfo.legislature.ca.gov/faces/codes_displaySection.xhtml?lawCode=CIV%C2%A7ionNum%3D51&source=patrick.net

51.
(a) This section shall be known, and may be cited, as the Unruh Civil Rights Act.

(b) All persons within the jurisdiction of this state are free and equal, and no matter what their sex, race, color, religion, ancestry, national origin, disability, medical condition, genetic information, marital status, sexual orientation, citizenship, primary language, or immigration status are entitled to the full and equal accommodations, advantages, facilities, privileges, or services in all business establishments of every kind whatsoever.

(c) This section shall not be construed to confer any right or privilege on a person that is conditioned or limited by law or that is applicable alike to persons of every sex, color, race, religion, ancestry, national origin, disability, medical condition, marital status, sexual orientation, citizenship, primary language, or immigration status, or to persons regardless of their genetic information.

(d) Nothing in this section shall be construed to require any construction, alteration, repair, structural or otherwise, or modification of any sort whatsoever, beyond that construction, alteration, repair, or modification that is otherwise required by other provisions of law, to any new or existing establishment, facility, building, improvement, or any other structure, nor shall anything in this section be construed to augment, restrict, or alter in any way the authority of the State Architect to require construction, alteration, repair, or modifications that the State Architect otherwise possesses pursuant to other laws.

(e) For purposes of this section:

(1) “Disability” means any mental or physical disability as defined in Sections 12926 and 12926.1 of the Government Code.

(2) (A) “Genetic information” means, with respect to any individual, information about any of the following:

(i) The individual’s genetic tests.

(ii) The genetic tests of family members of the individual.

(iii) The manifestation of a disease or disorder in family members of the individual.

(B) “Genetic information” includes any request for, or receipt of, genetic services, or participation in clinical research that includes genetic services, by an individual or any family member of the individual.

(C) “Genetic information” does not include information about the sex or age of any individual.

(3) “Medical condition” has the same meaning as defined in subdivision (i) of Section 12926 of the Government Code.

(4) “Religion” includes all aspects of religious belief, observance, and practice.

(5) “Sex” includes, but is not limited to, pregnancy, childbirth, or medical conditions related to pregnancy or childbirth. “Sex” also includes, but is not limited to, a person’s gender. “Gender” means sex, and includes a person’s gender identity and gender expression. “Gender expression” means a person’s gender-related appearance and behavior whether or not stereotypically associated with the person’s assigned sex at birth.

(6) “Sex, race, color, religion, ancestry, national origin, disability, medical condition, genetic information, marital status, sexual orientation, citizenship, primary language, or immigration status” includes a perception that the person has any particular characteristic or characteristics within the listed categories or that the person is associated with a person who has, or is perceived to have, any particular characteristic or characteristics within the listed categories.

(7) “Sexual orientation” has the same meaning as defined in subdivision (s) of Section 12926 of the Government Code.

(f) A violation of the right of any individual under the federal Americans with Disabilities Act of 1990 (Public Law 101-336) shall also constitute a violation of this section.

(g) Verification of immigration status and any discrimination based upon verified immigration status, where required by federal law, shall not constitute a violation of this section.

(h) Nothing in this section shall be construed to require the provision of services or documents in a language other than English, beyond that which is otherwise required by other provisions of federal, state, or local law, including Section 1632.

(Amended by Stats. 2015, Ch. 282, Sec. 1. (SB 600) Effective January 1, 2016.)

CA Civil Code 52 - https://leginfo.legislature.ca.gov/faces/codes_displaySection.xhtml?sectionNum=52&lawCode=CIV&source=patrick.net

52.
(a) Whoever denies, aids or incites a denial, or makes any discrimination or distinction contrary to Section 51, 51.5, or 51.6, is liable for each and every offense for the actual damages, and any amount that may be determined by a jury, or a court sitting without a jury, up to a maximum of three times the amount of actual damage but in no case less than four thousand dollars ($4,000), and any attorney’s fees that may be determined by the court in addition thereto, suffered by any person denied the rights provided in Section 51, 51.5, or 51.6.

(b) Whoever denies the right provided by Section 51.7 or 51.9, or aids, incites, or conspires in that denial, is liable for each and every offense for the actual damages suffered by any person denied that right and, in addition, the following:

(1) An amount to be determined by a jury, or a court sitting without a jury, for exemplary damages.

(2) A civil penalty of twenty-five thousand dollars ($25,000) to be awarded to the person denied the right provided by Section 51.7 in any action brought by the person denied the right, or by the Attorney General, a district attorney, or a city attorney. An action for that penalty brought pursuant to Section 51.7 shall be commenced within three years of the alleged practice.

(3) Attorney’s fees as may be determined by the court.

(c) Whenever there is reasonable cause to believe that any person or group of persons is engaged in conduct of resistance to the full enjoyment of any of the rights described in this section, and that conduct is of that nature and is intended to deny the full exercise of those rights, the Attorney General, any district attorney or city attorney, or any person aggrieved by the conduct may bring a civil action in the appropriate court by filing with it a complaint. The complaint shall contain the following:

(1) The signature of the officer, or, in his or her absence, the individual acting on behalf of the officer, or the signature of the person aggrieved.

(2) The facts pertaining to the conduct.

(3) A request for preventive relief, including an application for a permanent or temporary injunction, restraining order, or other order against the person or persons responsible for the conduct, as the complainant deems necessary to ensure the full enjoyment of the rights described in this section.

(d) Whenever an action has been commenced in any court seeking relief from the denial of equal protection of the laws under the Fourteenth Amendment to the Constitution of the United States on account of race, color, religion, sex, national origin, or disability, the Attorney General or any district attorney or city attorney for or in the name of the people of the State of California may intervene in the action upon timely application if the Attorney General or any district attorney or city attorney certifies that the case is of general public importance. In that action, the people of the State of California shall be entitled to the same relief as if it had instituted the action.

(e) Actions brought pursuant to this section are independent of any other actions, remedies, or procedures that may be available to an aggrieved party pursuant to any other law.

(f) Any person claiming to be aggrieved by an alleged unlawful practice in violation of Section 51 or 51.7 may also file a verified complaint with the Department of Fair Employment and Housing pursuant to Section 12948 of the Government Code.

(g) This section does not require any construction, alteration, repair, structural or otherwise, or modification of any sort whatsoever, beyond that construction, alteration, repair, or modification that is otherwise required by other provisions of law, to any new or existing establishment, facility, building, improvement, or any other structure, nor does this section augment, restrict, or alter in any way the authority of the State Architect to require construction, alteration, repair, or modifications that the State Architect otherwise possesses pursuant to other laws.

(h) For the purposes of this section, “actual damages” means special and general damages. This subdivision is declaratory of existing law.

(i) Subdivisions (b) to (f), inclusive, shall not be waived by contract except as provided in Section 51.7.

(Amended by Stats. 2014, Ch. 910, Sec. 3. (AB 2617) Effective January 1, 2015.)

The claim that "they're a private business, they can do what they want" is a COMPLETE misunderstanding..