Catalyzes the condensation between 5-(aminomethyl)-3-furanmethanol diphosphate (F1-PP) and gamma-glutamyltyramine to produce APMF-Glu. [5-(aminomethyl)furan-3-yl]methyl diphosphate + gamma-L-glutamyltyramine = (4-{4-[2-(gamma-L-glutamylamino)ethyl]phenoxymethyl}furan-2-yl)methanamine + diphosphate Cofactor biosynthesis; methanofuran biosynthesis. Belongs to the MfnF family.