"12024.2. (a) It is unlawful for any person, at the time of sale of a commodity, to do any of the following: (1) Charge an amount greater than the price, or to compute an amount greater than a true extension of a price per unit, that is then advertised, posted, marked, displayed, or quoted for that commodity. (2) Charge an amount greater than the lowest price posted on the commodity itself or on a shelf tag that corresponds to the commodity, notwithstanding any limitation of the time period for which the posted price is in effect."
https://leginfo.legislature.ca.gov/faces/codes_displaySectio...
Westchester County, New York:
"3. It shall be a violation of this code: a. To stamp, tag, label or otherwise mark any item of consumer goods at a selling price greater than the selling price advertised or displayed for that item. b. To stamp, tag, label or otherwise mark more than one (1) selling price upon an item of consumer goods offered for sale in Westchester County unless the prior selling price is unmistakably deleted or obliterated or is otherwise marked so as to indicate clearly the prior selling price is not the current selling price. c. To sell or offer for sale any consumer goods or services at a greater price than the price displayed or advertised therefor."
https://consumer.westchestergov.com/consumer-laws/consumer-c...
None of the links in your reply support the statement "In most American states the customer is entitled, by law, to the lowest advertised or marked price. The store must honor that price."