While waiting for an official response, checkout these related questions & replies -

https://appsumo.com/products/zerowork/questions/is-it-possible-to-execute-on-2-computers-1254439/

https://appsumo.com/products/zerowork/questions/is-it-possible-to-run-zerowork-automatio-1254709/

https://appsumo.com/products/zerowork/questions/tier-2-for-multiple-social-profiles-or-t-1254617/

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ZeroWork is working on offering "cloud hours" in the future, but that will cost extra once it becomes available. Some user(s) are running ZeroWork on a VPS in the meantime.

@Diana_ZeroWork - No problem!