(a) The rights, liens, judgments, and remedies assigned under § 111.251 of this code may be reassigned by any assignee.
(b) If notice is given as required by § 111.252 of this code, all rights, liens, judgments, and remedies originally held by the state to enforce and secure the tax claim or judgment pass to each person receiving a reassignment unless the reassignment is expressly limited in writing.