If you are using the TurboTax 2021 desktop editions you can use the What-If worksheet in Forms mode to get an estimate of the taxes owed or the tax refund using the 2022 tax rates.
Or you can use the TurboTax online calculator, TaxCaster, to get an estimate. TaxCaster is currently using the 2021 tax rates but should give you a close approximation for tax year 2022 - https://turbotax.intuit.com/tax-tools/calculators/taxcaster/
