If you are reporting the crypto mining as a business then you can deduct the business use portion of the computer. However, if this is hobby income, entered under Any Other Taxable Income as indicated by @DoninGA and @HelenC12, there is nothing you can deduct for the computer.
The proof of business use and personal use is the time spent on each and a log that provides proof for audit purposes. Keep this with your tax records if you decide to use self-employment income entry with the Form 1099-MISC and you decide to depreciate your computer.
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