What event was held on 27 May 2013 that featured one team that also competed in the League Cup and FA Cup?
2013 Football League Championship play-off Final The 2013 Football League Championship play-off final was a football match contested by Crystal Palace and Watford on 27 May 2013 at Wembley Stadium to decide the third and final team to be promoted from Football League Championship to the Premier League for the 2013–14 season.
1989–90 Birmingham City F.C. season The 1989–90 Football League season was Birmingham City Football Club's 87th in the Football League and the first in their history in which they played in the third tier of the English football league system. After a sound start to the season, with six wins from the first ten games, their results worsened, and they eventually finished in seventh position in the 24-team Third Division, three points outside the playoff places. They entered the 1989–90 FA Cup in the first round proper and lost in the third, eliminated by Oldham Athletic after a replay, and entered the League Cup at the first round and lost in the second, beaten 3-2 by West Ham United over two legs. They lost in the preliminary round of the Football League Trophy, a competition open to teams in the third and fourth tiers of the League.