Comment by Phemist

Well, if Dutch is your second language for sure it is difficult to see.

"Gamen" is one of those anglicisms that has made it into the language, with ugly but in this case useful conjugations:

    Ik game met je (I (play a) game with you)
    Hij gamet met je (he plays a game with you, this is especially nice because of the repeating "met")
    Zij gamet met je (she *)
    Wij gamen met je (we *)
    Zij/Hun gamen met je (they *)