Also if your having the same problem with the burnt out pin you may need / want to replace the wire harness as well. Got that here. ALLMOST NEW Harness Tail Light Wire Plug Compatible with Mini Cooper TailLight Socket 63217361305 https://www.amazon.com/dp/B08HQCT8R1/ref=cm_sw_r_cp_api_glt_fabc_VJBBX24KAEGH67WQCM9C?_encoding=UTF8&psc=1

I just cut the old one off and spliced the new one in. Worked perfectly.