Someone in my family has this light, and the hinge seems to be a weak point as the part broke. I designed and tested a replacement part. I will be surprised if anyone that both needs this niche part and thinks about searching for it actually sees this, but uploading just in case :)

Print this tiny part with high infill percentage and a material suitable for wear, I printed it in ASA.

This is an independently designed replacement part, not made by or affiliated with LMNTS