Teach Relevant Apprenticeships to Drive Economic Success Act or the TRADES Act This bill provides statutory authority for federal regulations titled Apprenticeship Programs, Labor Standards for Registration, Amendment of Regulations, originally published by the Department of Labor on March 11, 2020, and later rescinded on November 25, 2022. The rules permit the Department of Labor's Office of Apprenticeship to recognize qualified third-party entities, known as Standards Recognition Entities (SREs), which then evaluate and recognize Industry-Recognized Apprenticeship Programs (IRAPs).