Final answer:
The current provincial political party in power in British Columbia is the British Columbia New Democratic Party (BC NDP).
Step-by-step explanation:
The name of the political party currently in power in British Columbia (BC) is the British Columbia New Democratic Party (BC NDP). The BC NDP is a provincial political party in Canada that governs the province of British Columbia. This information is based on the political context leading up to 2023, and political landscapes can change with elections and other political events, so it is always a good idea to check the most current information for the latest updates on the governing party of any province.