[7] His first language is Welsh,[8] which was seen as a key factor in his election as MP for one of the strongest Welsh-speaking constituencies in Wales.

In the 2024 general election, Lake won the new Ceredigion Preseli constituency with 21,738 votes (46.9%).

Lake was appointed the Plaid Cymru spokesperson at Westminster for the Environment, Food & Rural Affairs, Education & Skills, Health, Communities & Local Government, Culture, Media & Sport and Constitutional Affairs.

[13] He supported Rhun ap Iorwerth in the 2018 Plaid Cymru leadership election.

[15] In August 2019, Lake was nominated for the MP of the Year Award, acknowledging MPs who actively work with under-represented and disadvantaged communities across the UK.