[8] He took his maiden single-seater win during the second Imola round, as he led every lap from pole position in a weekend which included a complete podium sweep.

[9][10] With the aforementioned win, six podiums and 179 points, Beganovic placed third behind Francesco Pizzi and championship winner Gabriele Minì in the overall standings.

[16] In his main campaign, Beganovic experienced a tough first half of the season, only managing to score twelve points with a best finish of eighth twice.

[17] However, he impressed with a fourth place and the rookie win when the second half of the season began in Spa-Francorchamps,[18] before securing a first podium in Valencia.

[19] Beganovic took his first pole position for the final race of the season in Monza,[20] but he retired after being involved in a collision with teammate David Vidales while fighting for the lead.

[31] Beganovic secured a third victory in Monaco and a double Paul Ricard rostrum which further extended his championship lead to 63 points.

[39] At the start of 2023 before his main F3 campaign, Beganovic returned to the newly rebranded Formula Regional Middle East Championship with Mumbai Falcons, taking part in the first two rounds.

On 20 September, Prema announced that Beganovic would be participating in a three-day FIA F3 test at Jerez, alongside Paul Aron and Zak O'Sullivan.

[44][45] The campaign began with promise, as he took his maiden podium during the feature race at the Bahrain season opener after finishing fourth on Saturday, having come through from his starting spot of eighth.

[46][47] Another eighth in qualifying followed in Melbourne and he finished in fifth place for the sprint, but a penalty after a last-lap collision with Caio Collet during the feature race demoted Beganovic out of the points.

[55] though he dropped back on Sunday due to high amounts of tyre degradation, which he explained had come as a result of him pushing "way too hard" in the early stages of the contest.

[56] In qualifying for the event at Silverstone, an engine issue befell his car before he could set a flying lap, forcing him to start from last place.

[59] He experienced a disappointing weekend in Spa-Francorchamps, as contact with Gabriel Bortoleto in the sprint race caused Beganovic to receive a penalty and drop out of the points, whilst a wrong strategy on a damp track meant he finished down in 16th place.

[62] Beganovic finished his rookie Formula 3 season sixth in the standings with 96 points and four podiums, being the highest placed driver not to win a race.

[69] Beganovic remained with Prema Racing for the 2024 season, alongside Gabriele Minì and Red Bull junior Arvid Lindblad.

[76] He had a great run in the sprint race as he moved up to sixth place at the flag,[77] only for him to be penalised and dropped to 13th for forcing Sebastián Montoya off-track.

[85][86] An unlucky timing in qualifying Silverstone confined Beganovic to 19th for both races, and he was unable to recover from there, forcing him to cope with his first non-scoring weekend of the season.

[90] Qualifying again on reverse pole in Spa-Francorchamps,[91] Beganovic fended off attacks from Minì to take his second win of the season in mixed conditions.

[100] Beganovic made the step up to Formula 2 for the final two rounds of the 2024 season with DAMS Lucas Oil, replacing Juan Manuel Correa and partnering Jak Crawford.