Archie made his first-class debut against Durham in August.Michael Vaughan expressed immense pride while commentating on the match, stating that it was the most nervous he had been at a cricket ground in years. In this debut, Vaughan scored 30 runs before falling to a full delivery from Daniel Hogg. He hit 16 runs in the second innings and picked a total of three wickets. In April 2024, Archie opened the batting for Somerset's second-XI alongside Jack Leach against Yorkshire second-XI at Headingley, scoring 61 runs. This performance demonstrated his ability to handle higher-level cricket. He also played for a Young Lions Invitational XI against England U19 at Loughborough in June 2024, where he took the wicket of Rocky Flintoff, son of Andrew Flintoff. He also played a U19 Test match for Young Lions against a visiting Sri Lanka U19 side in July. Vaughan signed a two-and-a-half-year professional contract with Somerset in May 2024, solidifying his commitment to the county. He made his List A debut for Somerset against Kent in the One-Day Cup on July 26, 2024, although his debut was cut short when he was run out without facing a ball. In subsequent innings, he showed resilience, scoring a top score of 31* against Worcestershire.