(b) Except as provided below, when a city or town taxes a for-profit hospital facility, the value of its real property shall be the value determined by the most recent full revaluation or statistical property update performed by the city or town; provided, however, in the year a nonprofit hospital facility converts to or otherwise becomes a for-profit hospital facility, or a for-profit hospital facility is initially established, the value of the real property and personal property of the for-profit hospital facility shall be determined by a valuation performed by the assessor for the purpose of determining an initial assessed value of real and personal property, not previously taxed by the city or town, as of the most recent date of assessment pursuant to § 44-5-1, subject to a right of appeal by the for-profit hospital facility which shall be made to the city or town tax assessor with a direct appeal from an adverse decision to the Rhode Island superior court business calendar. A "for-profit hospital facility" includes all real and personal property affiliated with any hospital as identified in an application filed pursuant to chapter 17 or 17.14 of title 23. Notwithstanding the above, a city or town may enter into a stabilization agreement with a for-profit hospital facility under § 44-3-9 or other laws specific to the particular city or town relating to stabilization agreements. In a year in which a nonprofit hospital facility converts to, or otherwise becomes, a for-profit hospital facility, or a for-profit hospital facility is otherwise established, in that year only the amount levied by the city or town and/or the amount payable under the stabilization agreement for that year related to the for-profit hospital facility shall not be counted towards determining the maximum tax levy permitted under § 44-5-2.