Payment Stablecoin; Revises Florida Control of Money Laundering in Money Services Business Act to include payment stablecoins; requires certain payment stablecoin issuers to comply with certain regulations; prohibits persons from engaging in activity of qualified payment stablecoin issuer without being licensed or exempted from licensure; requires out-of-state state-qualified payment stablecoin issuers to provide specified written notice to OFR within a specified timeframe; specifies that certain transactions are not regulated under certain provisions; specifies that certain payment stablecoin is not security & not subject to certain provisions; specifies that office remains solely responsible for supervising qualified payment stablecoin issuers or is jointly responsible with Office of Comptroller of Currency for such supervision under certain circumstances; prohibits trust company from engaging in activity of qualified payment stablecoin issuer unless trust company obtains certificate of approval or is exempted from such certificate.