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I think I linked the wrong magnets :( I need to verify, but I think the magnets I actually used are 2/10" instead of 3/16" diameter, but the same height. You can probably make it work with hot glue as you said, or something else to add a slight bit of filler. I've uploaded versions marked 3-16 that should have a tighter fit for 3/16" diameter magnets but I haven't tested yet.
I used the quest glasses spacer; I found there's not enough room without it.