Vanity makeover tips?

My granddaughter wants a glam vanity...mirrored all over just like the one we saw at Pier One. I have the vanity (it has been stripped) and found the mirror material. It is 1/16" thick, highly reflective plastic. When flat, it looks like glass.
My questions are, 1. What is the best adhesive to bond this material to bare wood surface?, 2. Do I need a primer?, 3. How should I apply to get the smoothest finish? Attached are photos of my piece and one of the look I am trying to achieve. Thank you for your help.
q help me with vanity redo
q help me with vanity redo
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