You don't report the income, you just pay estimated taxes. You may need to use the income to calculate the estimated tax, but you don't report the income to the IRS.
If your withholding from any regular jobs is large enough to cover the tax from a side business, you don't need to make special payments. For example, the tax on your side business could be between $1300 and $1700 depending on your other income. If you normally get a $2000 refund, that means you are overpaying into the system by $2000, which is enough to cover the side gig (you would get a refund of $300 to $700 instead). But if you still like the large refund, you have make payments into the system.
