Normally you just squeeze together the 2 prongs sticking out on the retaining clip pull it out and the headlight bulb more or less drops out.
I havent got a Gen 1 myself but it will give you full instructions on how to do it in your handy driver hand book which you always have handly to hand.
Gen 2 MINI side light/fog light bulbs are accessed from the rear via a wheel arch blanking plate, I wouldnt have thought it was required to remove the entire light unit just to change a bulb on yours.
But then again it will tell/show you in the handbook, they are really useful.
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