Counterfeit?based on your pictures it looks like the size of a quarter to me,who did you buy it from?.
What's that place that shrinks coins with massive amounts of electricity? Send it there before grading
You've got Gulliver's key date to the collection. And you've got the Lilliputian's spenders. Fun novelty item. Post it without anything else for size reference and sell it for $10k on Etsy.
Remove it from the 2 x 2 and tape it into your album. Then it will fit just fine. And since it’s a counterfeit it just won’t matter. Nice pick up though for two bucks.