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Publishing multiple websites on free account

Hi everyone one, I’d like to open a free webflow account, I know that there’s a limit of 2 projects but this is not the case if the client buys a plan and I publish the website right?
I was not sure if it would be possible for me to have a free account that contains multiple projects with paid plans. Once the client pays for the plan (let’s say CMS plan) I don’t have limitation on that project in terms of custom code, exporting code, collection elements (other than the ones stated in the CMS plan), is that correct?