Godan verb with 'ku' ending, Intransitive verb
to win through (e.g. to the next round); to win game after game
勝ち抜いていけるよう幸運を祈るよ。Best of luck in your tournament. to achieve a final victory; to fight to the end and win; to come out on top
Also written 勝抜く【かちぬく】