[1] Beetham was born in Brecon, Powys, and educated at the Builth Wells campus of Ysgol Calon Cymru.
[6] He made his debut for Cardiff in the first round of the 2021–22 European Rugby Champions Cup against Toulouse, starting at full-back.
[8] In September 2022, while playing for Cardiff RFC, Beetham suffered an ACL injury which ruled him out for the remainder of the season.
[9] Ahead of the 2023–24 season, Beetham signed an extension with Cardiff's academy, while training with the senior squad.
[14] Ahead of the 2024 Six Nations Championship, Beetham was targeted by Scotland head coach Gregor Townsend.