2016 was Weug's first year on the international karting stage, where she would immediately show her talent, winning the WSK Final Cup in the 60 Mini category, where she beat fellow future academy member Dino Beganovic.

In an interview, Weug stated that "we were so close so many times [to score points]", and said that her lack of experience hindered her throughout the season.

[9][10] At the following round in Misano, Weug continued this run of form by scoring yet more points, and despite a heavy collision at the end of Race 3 she would be classified eighth due to the countback rule.

[12] Having taken part in several post-season tests with KIC Motorsport, Weug would progress to the Formula Regional European Championship, driving for the Finnish outfit.

[20] Weug was selected to take part in a one-day FIA Formula 3 test at Magny-Cours in November 2021, alongside fellow Iron Dames racer Doriane Pin and W Series drivers Nerea Martí and Irina Sidorkova.

[22] Weug made it into the final selection stage alongside Doriane Pin, Julia Ayoub and Antonella Bassani, and on 22 January it was announced that she had won the shootout and would be joining the FDA.