The headword is present participle, masculine nominative singular, of a)/gamai. Same or similar glossing in other lexica (references at Photius alpha99 Theodoridis). The headword is evidently quoted from somewhere (other than the quotation given here, which has the corresponding plural); extant possibilities begin with Xenophon and Plato.
[1] cf. alpha 138.
[2] Theophylact Simocatta, Histories 2.6.4, on a badly wounded Roman soldier at the Battle of Solachon in 586; cf. de Boor (80), Whitby (50), and lambda 272 end. The battle took place south of Dara (cf. delta 68 note), in northern Mesopotamia, the site of the present-day village of Saleh, Mardin Province, Turkey.