Hi,
You can’t add an alias as a separate account in Outlook because Exchange treats aliases as part of the same mailbox, not as independent accounts. That’s why Outlook assumes you’re already signed in when you try to add the alias.
Workaround:
Use the From field in Outlook to send emails from your alias requires Send As or Send on Behalf permissions from your admin.
In Outlook Web, you can choose the alias when composing a message under Settings > Mail > Compose and reply.
If you need a fully separate inbox, you’ll need a shared mailbox or a second account created by your admin aliases alone won’t provide that.
Happy to help!