The lien provided in AS 34.35.395 - 34.35.425 binds all the right, title, and interest of the person at whose instance or request or for whom the work or services are performed, to the full extent of the interest that the person has at the commencement of the work or services for which the lien is claimed or that is subsequently acquired up to the time of the foreclosure of the lien, in the property where the work or services are performed.