He made his television debut in the sketch-comedy reality series AwesomenessTV in the episode "Random Thoughts by JoJo", based on the YouTube channel of the same name and is created by Brian Robbins.

[7] On the same year, he starred Nash Grier and Cameron Dallas in the sports comedy-drama film The Outfield, where he played the lead role of Austin York.

[8] In 2018, Bragg played the role of Richard in the comedy drama film Reach starring Garrett Clayton.

[9] In 2021, Bragg was cast to play the main role in the sitcom Call Your Mother alongside Kyra Sedgwick, Rachel Sennott, Austin Crute, Emma Caymares and Patrick Brammall, in which he played the main role of Freddie Raines, which was aired from January 13 to May 19, 2021 on ABC.

[10] In 2023, Bragg starred in the comedy drama movie Sid is Dead alongside Mary Stuart Masterson, Carla Gallo, G Hannelius and Jack Griffo, which was released on April 28, 2023.