In 2018, Ort made 35 appearances between the High-A Tampa Tarpons and Double-A Trenton Thunder, working to a combined 2-2 record and 3.74 ERA with 69 strikeouts and 3 saves in 55.1 innings pitched.

Ort played the 2019 season with Staten Island, Trenton, and the Triple-A Scranton/Wilkes-Barre RailRiders, pitching to a 6-0 record and 3.40 ERA with 78 strikeouts and 4 saves in 50.1 innings of work.

[6] He made his major-league debut on September 13; pitching in relief against the Seattle Mariners, he allowed one hit and no runs in 1⁄3 of an inning.

[8] In 42 relief appearances with Worcester, Ort recorded 19 saves with a 2.98 earned run average (ERA) while striking out 62 batters in 45+1⁄3 innings pitched.

[13] On September 29, Ort recorded his first MLB save by pitching a scoreless ninth inning against the Baltimore Orioles.

[15] Ort began the 2023 season on Boston's major-league roster, and worked out of the bullpen until being optioned to Worcester on April 30.

[28] Ort earned a save when he, Chayce McDermott and Nolan Hoffman achieved a combined no-hitter in a 2–0 Tides away win over the Nashville Sounds on May 3.