Using Edge (Microsoft flavored Chrome) and the account personas will let you keep these M365/O365/Live identities separate, in the same way Chrome does a first class job of keeping Google Accounts separate.
Arguably, if you're one of the 85% of SMBs in O365/M365 instead of Google Workspaces, or if your "Login with..." personal account is Microsoft instead of Google or Apple, you should be using Edge.
Arguably, if you're one of the 85% of SMBs in O365/M365 instead of Google Workspaces, or if your "Login with..." personal account is Microsoft instead of Google or Apple, you should be using Edge.