So, is there a query to get how far are you from the proofreader badge?
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Probably, there might be. But why would you want to use one when you don't really need it?
You can get the numbers from the site without having to use the data explorer. You can find this by looking at any suggested edit you have reviewed. On the page, you'll see counts for how many you have approved and rejected. Add them up and you'll get your number.
Apparently you have made 70 reviews so far.
Okay, I couldn't resist. It's a pain to navigate to the Reviewer Stats. Here's the SEDE query: