Labuschagné was born in Springs and went to high school in nearby Brakpan. However, he was never selected to represent his local team at any provincial schoolboy tournaments. After high school, he moved to Bloemfontein, where he was included in the squad. In July 2014, a video went viral of Labuschagné successfully kicking a penalty from 80m out during a training session at the University of the Free State. He made nine starts in the 2014 Under-19 Provincial Championship, appearing in the right wing, fullback and outside centre position during the season and scoring six points with the boot during a season that saw his team finish in second position, before losing their semi-final match 22–29 to eventual champions,. Labuschagné was included in the squad that played in the 2015 Vodacom Cup competition. He made his first class debut on 18 April 2015, starting as the right wing in their 50–45 victory over the in Round Four of the competition. He made two more starts – against the in East London and against in Bloemfontein – but failed to score any points for his team. He played at Under-21 level in the second half of the season, following up a start for the in their victory over the team with three appearances as a replacement. The first of those came against during the regular season of the Under-21 Provincial Championship, as the team finished second on the log to qualify for the title play-offs. He also came on as a replacement in their 27–22 victory over in the semi-final, and in the final against, which the side from Cape Town convincingly won 52–17. Labuschagné was included in the wider training group for the 2016 Super Rugby season, but made no appearances in that competition. Instead, he once again represented the Free State XV, this time in the 2016 Currie Cup qualification series that effectively replaced the Vodacom Cup. He made two starts; a start at inside centre in a 35–15 win against the was followed by a start at fullback against the other team form the Eastern Cape, the. Labuschagné scored his first senior points in this match, kicking two conversions in a 22–18 victory. He was once again in action for the team in the 2016 edition of the Under-21 Provincial Championship, playing in all six of their matches during the regular season. The team finished in fourth spot on the log to qualify for a semi-final, but Labuschagné did not feature in their 23–26 defeat to Western Province. However, the 46 points he scored during the regular season – through tries against and, fifteen conversions and two penalties – made him his side's top scorer during the competition, and fifth overall.