Rear bulbs, front headlight question

#1
Can anyone let me know how to take off the bracket to the rear bulb housing connecting the wires.
I can't work out how to get it off. Here is a photo of the front.


A part has broken off my front headlight, but strangely, everything seems to work fine.
Can anyone let me know what this is for?
See photos.

Thank you
 

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