Oh, Windows 365 is some new PC-as-a-service cloud option, I guess? Is that what you mean? I don't know anything about how that works or whether Zotero would work with it. Possible you'd run into the same problem as when running multiple instances on the same computer.
https://www.zotero.org/support/system_requirements
If you're not seeing it, see Zotero Toolbar Doesn't Appear.