80
It's a little quick for an update, but the record by games played list has really separated the seasons into a few distinct blocks:
2017 - 23rd July (97th match of season)
2012 - 26th July (98th match of season)
2016 - 27th July (101st match)
2014 - 2nd August (108th match)
2019 - 5th August (112th match)
2005 - 9th August (112th match)
2018 - 9th August (115th match)
2015 - 18th August (118th match)
2013 - 14th August (119th match)
2026 - 9th August (120th match)
2011 - 18th August (122nd match)
2023 - 24th August (128th match)
2024 - 25th August (131st match)
2007 - 1st September (136th match)
2006 - 3rd September (136th match)
2010 - 5th September (137th match)
2025 - 8th September (143rd match)
2021 - 12th September (143rd match)
2008 - 23rd September (157th match) - final win of season
2009 - 4th October (162nd match) - final win of season
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2022- finished 55-107 (.340)
2020 - finished 26-34 (.433)
Teams in green were above .500 with their 59th win. Teams in red were below .500. Playoff teams are in italics. 2019 World Series winner is underlined. 2026 in bold.
Last update, after the 56th win, the playoff teams had risen to the top. This update has even more sorting. The next block has 5 teams that finished with 81 or fewer losses but missed the playoffs. That's the company Team 2026 is keeping. Below that block are teams with 73 wins or fewer. Team 2007 has not quite risen to the top of that block, but the order of teams now is pretty close to their final records. I only had to flip 2026 with 2015 to re-sort the wins by date into the win by games played list.