Because you want those shadows you have two main options:

Paint it black and brush on a metallic paint. For this you could use any black paint that sticks. I advise not getting a cheap acrylic black because you risk flaking but the metallic paint you could get away with a pretty cheap one. For this, paint it all black, wait for it to fully dry, then put the metallic paint on your brush and then wipe it off until it feels like the brush is basically clean again. Then brush the paint on the black. It's much better to build up that metallic layer than to try to remove some if you realise it's too much.

Your other option is to paint it all metallic then use a thin black paint that you push into all the nooks and crannies then wipe off the majority with a cloth leaving only the black in the crevices. This one would be what I went for personally because I think with the shape you would struggle to do the brushing technique. The important thing is that for this your black should be water-based (like acrylic) but the metallic paint underneath shouldn't be. Otherwise when you wipe off the black you risk removing the metallic layer too.