Priam is willing because it would mean the end of the war and an alliance with the world's greatest warrior.
pɹˈiəm ɪz wˈɪlɪŋ bɪkˈʌz ɪt wʊd mˈiːn ðɪ ˈɛnd ʌvðə wˈɔːɹ ænd ɐn ɐlˈaɪəns wɪððə wˈɜːldz ɡɹˈeɪɾɪst wˈɔːɹɪɚ.