I have three altoids tins inuse, one of which I shined up pretty nice but not quite "mirrorlike". Now, I'm thinking here without knowing for sure: if you glue mylar or any other clear substance on the lid, won;t that reduce the reflectivity (is that a word?) of the lid? I'm thinking that you wouldn't want to glue it down, just fasten it there temporarily. Then, when you're ready to use it, you would take off the protective coating. My theory (untested/unproven) is that, any clear substance adding depth and covering the mirror will reduce its effectiveness.
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DON'T BE SCARED
-Stretch