High level brake light

[5quirrel]

Hi all, I need to extend the wire to my high level brake light as it's ever so slightly too short for a replacement unit. What type is the connector that fits into the brake light unit so I can get an extension? Fallback is to extend the wires but I would rather not start crimping new bits into the loom. FYI the unit code from Ford is 1802092 (https://shop.ford.co.uk/search?q=1802092)

Also a quick question on refitting: can I use some Red Rubber Grease to help fit the new unit in?

Thanks in advance.