Breaux was drafted by the New York Yankees in the second round, with the 61st overall selection, of the 2018 Major League Baseball draft.[3]
Breaux made his professional debut with the rookie–level Gulf Coast Yankees before being promoted to the Low–A Staten Island Yankees.[4] In 30 total games, he hit .269 with 13 RBI. Breaux played the 2019 season with the Single–A Charleston RiverDogs, slashing .271/.324/.518 with 13 home runs and 49 RBI.[5] He did not play for a minor league team in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic,[6] but did play five games in the Constellation Energy League.[7]
Breaux started 2021 with the High–A Hudson Valley Renegades before being promoted to the Double–A Somerset Patriots. In 90 games between the two affiliates, he accumulated a .249/.298/.503 batting line with career–highs in home runs (23) and RBI (63).[8][9] Breaux split the 2022 campaign between Somerset and the Triple–A Scranton/Wilkes-Barre RailRiders, posting a cumulative .219/.283/.422 batting line with 19 home runs and 50 RBI across 94 appearances.[10]
Breaux split 2023 between Hudson Valley, Somerset, and Scranton. In 50 games for the three affiliates, he hit .243/.302/.466 with 12 home runs and 22 RBI.[11] Breaux played in 11 games for Triple–A Scranton in 2024, hitting .143/.189/.314 with two home runs and five RBI.[12] Breaux was released by the Yankees organization on June 29, 2024.[13]
On July 1, 2024, Breaux signed a minor league contract with the Philadelphia Phillies.[14] He spent the remainder of the season with the Double-A Reading Fightin Phils and Triple-A Lehigh Valley IronPigs, playing in 29 total games for the two affiliates.
In 2025, Breaux made 51 appearances split between Reading and Lehigh Valley, batting a cumulative .222/.307/.342 with three home runs s and 15 RBI. He elected free agency following the season on November 6, 2025.[15]
On February 6, 2026, Breaux signed a minor league contract with the Chicago White Sox.[16]