(1) A person is guilty of patronizing a prostitute when he or she:
(a)  Pays or offers or agrees to pay another person a fee for the purpose of engaging in an act of sexual conduct or sexual contact;
(b)  Enters or remains in a house of prostitution for the purpose of engaging in sexual conduct or sexual contact.
(2)  Patronizing a prostitute is a misdemeanor, provided that a third or subsequent conviction therefor shall be a felony.