If you haven't finished registering your business, I recommend you setting it up directly with the state website: inbiz.in.gov. It is not terribly difficult to navigate, and will ask you all of the questions you need to determine if you need a particular form or not.
Having said that, your business won't likely need to file that form. The form is used to register tax accounts, like for sales/use tax, withholding tax, and so forth. You won't have those accounts. Crypto mining, while "sales" are involved, is not subject to sales tax (at least not yet). Since you (of course) will need tangible assets (computers, video cards, etc.) for your business, you could have to register for a use tax, but if you do, you will likely be filing a $0 return. (Use tax is if you own business equipment, and were sales-tax exempt when you purchased it). I suspect you won't need that account.
And you shouldn't need a withholding account, either. If you are a Single-Member LLC and do not make an election to be treated as an S- or a C-Corp for tax purposes, then you have no need to have a withholding account (which is to withhold tax for employees), and you will not need an unemployment account, either.
So I don't really see any reason why you should need the BT-1 Form. But, again, if you follow the website's registration process, you'll know for sure.
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