Seeing as this is the leading search result for people with 365 work/business accounts too.
I thought it would be useful to include the solution that will solve this issue here.
To send from Outlook for web or application.
Firstly the end user can't fix this. An admin has to resolve Step 1:
Step 1:
How to turn on sending from aliases in Admin Panel with 365.
By default, sending email from aliases is turned off. An admin needs to turn it on it in the Exchange admin center first.
Sign in to the Exchange admin center. Use your Microsoft 365 email address and password.
Select Settings, then Mail flow.
Select the checkbox next to Turn on sending from aliases.
select checkbox to turn on sending with aliases
Select Save.
Step 2:
Now the user you can send from an Alias!
Unfortunately this solution doesn't work, I have already turned on sending from alias in Exchange 365.
The problem is when I use the Outlook web interface there is no way to put my alias in the "from" field.
It does work on my outlook 2019 app, works fine, but not on 365 web interface.