Tricky

Not sure if my skills are up to repairing this - the wood is only about 3mm thick and it's a part that moves so the repair needs to be accurate and strong.  I wonder if I could find a way to get another one made.  I'm pretty sure it's laser cut so I could probably get someone to make me another one if I get out the micrometer to get the measurements right then CAD up what I need...

I'll have a go with glue first, but I'm not very hopeful...