2021

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.^[3] He would go on to compete in his home round at the Red Bull Ring, scoring points that elevated him to 20th in the standings.^[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.^[6][7]

2022

At the beginning of 2022, the Austrian competed in the F4 UAE Championship on a full-time basis in preparation for his European season. During the campaign, Wurz took a pair of victories,^[8] as well as eight further podiums, which enabled him to take the title in the final round.^[9][10][11]

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.^[12][13] In the latter, a third place at Spa-Francorchamps and a further pair of podiums at Zandvoort meant that the Austrian driver placed seventh in the standings,^[14][15] although his campaign in the former would bear more fruit. 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.^[16] More points came at Spa, before the Austrian tasted champagne at Vallelunga, scoring a pair of third places.^[17] At the penultimate round in Monza, Wurz would take pole for Race 1, which he managed to convert into his first victory in the series, whilst also scoring a podium in Race 2 during a weekend that the Austrian described as having been "fantastic".^[18] One more podium came during the season finale at Mugello, with Wurz finishing the season fourth in the standings.^[19]

Formula Regional Oceania Championship

At the start of 2023, Wurz took part in the Formula Regional Oceania Championship in New Zealand, driving for M2 Competition.^[20][21] 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.^[22][23] At the next event in Teretonga, the Austrian would extend his advantage at the top of the standings, winning races 1 and 3.^[24][25] After a lull at Manfeild, where Wurz finished no higher than fifth, he returned to the top step of the podium in the reverse grid race at Hampton Downs. As championship adversary Callum Hedge suffered from mechanical difficulties during the race, Wurz once again moved to the top of the standings.^[26] He won the feature race at Taupo while Hedge finished fourth, securing the series championship.^[27]

Formula Regional European Championship

Wurz confirmed in January that he would be competing in the Formula Regional European Championship during the 2023 season.^[28]