Me. Rev. Stat. tit. 28-A, § 353

Agency liquor stores may be open for the sale and delivery of spirits as provided in section 4, subsection 1 in municipalities that have voted in favor of the sale of spirits for off-premises consumption under local option provisions and in unincorporated places where the sale of liquor for off-premises consumption has been authorized by the county commissioners under section 122. Notwithstanding any local option decisions to the contrary, agency liquor stores may be open from 5 a.m. Sunday to 1 a.m. the following day.