A team has finished a game with 3-2-3 runs-hits-errors line 13 times since 1897, most recently New York Yankees on 8 June 2002. That is about one every 34,077 team-games.
Box score for the most recent one ↗
3-1-0 3-1-4 3-1-3 3-1-1 3-2-1 3-2-2 3-2-3 3-2-0 3-2-4 3-3-0 3-3-1 3-3-4 3-3-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes