In 2018, Logue played for the Single-A Lansing Lugnuts and the High-A Dunedin Blue Jays, and pitched to a 12–4 record and 3.15 ERA with 129 strikeouts in 154+1⁄3 innings of work across 27 appearances (25 of them starts).[5] In 2019, Logue split the year between the Double-A New Hampshire Fisher Cats and Triple-A Buffalo Bisons, recording a cumulative 4.14 ERA with 83 strikeouts in 104+1⁄3 innings of work in 20 games between the two teams.[5] Logue did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[6] He started the 2021 season with New Hampshire before being promoted to Buffalo.[7] On the year, he worked to a 12–4 record and 3.67 ERA with 144 strikeouts in 125 innings pitched in 25 total games (24 of them starts).[5] He was added to the 40-man roster following the season on November 19, 2021.[8]
Logue made his major league debut on April 19 against the Baltimore Orioles, pitching 1+1⁄3 scoreless innings and striking out the first batter he faced, Ramón Urías, while recording the win.[11] During the season, he pitched 57 innings over 14 games, with a 3–8 record and 6.79 ERA.[12] He also made 17 starts for the Triple–A Las Vegas Aviators, with a 3–6 record and 8.12 ERA.[5] Logue was designated for assignment by the Athletics on December 21.[13]
Detroit Tigers
On December 23, 2022, Logue was claimed off waivers by the Detroit Tigers[14] who then designated him for assignment on December 31.[15] On January 6, 2023, he was sent outright to the Triple-A Toledo Mud Hens.[16][17] Logue was selected to the active roster on June 29[18] and made three appearances before he was designated for assignment on August 7.[19] He allowed nine runs in 13 innings .[20] He cleared waivers and was sent outright to Toledo on August 9.[21] In 27 appearances (21 starts) for Toledo during the season, he had a 6.58 ERA and 3–10 record.[5] On October 2, Logue elected free agency.[22]
Atlanta Braves
On December 8, 2023, Logue signed a minor league contract with the Atlanta Braves.[23] In 23 games (12 starts) for the Triple–A Gwinnett Stripers, he compiled a 2.88 ERA with 86 strikeouts across 90+2⁄3 innings pitched.[5] On July 24, 2024, the Braves selected his contract, adding him to their active roster.[24] Despite multiple stints on Atlanta's active roster, he did not appear for the team and was designated for assignment on September 1.[25] He cleared waivers and elected free agency on September 5.[26]
Los Angeles Dodgers
On September 12, 2024, Logue signed a minor league contract with the Los Angeles Dodgers and was assigned to the Triple–A Oklahoma City Baseball Club.[27] After pitching three innings in one game in Oklahoma City, Logue had his contract purchased and he was added to the Dodgers' active roster on September 18.[28] He pitched two innings in the majors, allowing four earned runs.[29] Logue was non-tendered by the Dodgers on November 22, and became a free agent.[30]
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