If I have turbo tax home and business 2022, how many times can I install it on a Mac?

Per the TurboTax Desktop Software End User License Agreement for Tax Year 2021, you can install and use a copy of your software on up to five computers you own. 

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It's H&B 2021 (not 2022).  Just be aware that you cannot load it more than once on the same computer, and that TT is not licensed for use by paid tax preparers.