Wurz made his single-seater debut in 2021, competing at the Vallelunga round of the Italian F4 Championship as part of the Prema outfit and taking a win in the rookie class during Race 3.

[4][5] At the end of the year, Wurz took his first win in the category, taking victory at the F4 UAE Trophy Round held in support of the 2021 Abu Dhabi Grand Prix.

[13][14][15] For his main season, Wurz would remain with Prema for the entirety of the Italian F4 Championship, as well as taking part in the first half of the ADAC F4 series.

After a pair of points finishes at Imola, Wurz would take his first podium at Misano, having fought for victory with teammate Andrea Kimi Antonelli.

[30][31] He started the season in a strong manner, taking the championship lead during the first round with a pair of second-placed finishes in the main races.

[34][35] After a lull at Manfeild, where Wurz finished no higher than fifth,[36] he returned to the top step of the podium in the reverse grid race at Hampton Downs.

[38] Wurz confirmed in January that he would be competing in the Formula Regional European Championship during the 2023 season, driving for ART Grand Prix alongside Laurens van Hoepen and Marcus Amand.

[45] He concluded his campaign with a double rostrum during the Barcelona season finale, finishing sixth in the standings with one win, five podiums and 139 points.

[50][51] Wurz was later confirmed to be joining the Swiss outfit for the 2024 FIA F3 season, alongside Max Esterson and Matías Zagazeta.

[53] He qualified sixth and was fighting for another top 5 finish in the Silverstone sprint race,[54] but he was involved in a race-ending collision with Alex Dunne on the Wellington Straight.