It can’t automatically enter these, but has a great feature to make it easy:
Clicking and dragging on the pop up makes it persistent until you click the close button.
It seems to handle this automatically, as it recognises subdomains based on the URL without any extra effort.
To be honest, if you’re using strong passwords (and it sounds like you are), you shouldn’t be regularly changing them. The practice of changing passwords is outdated advice from before the days of password managers. There’s no point in changing a strong password, unless it has been compromised.
Don’t enforce regular password expiry
Regular password changing harms rather than improves security. Many systems will force users to change their password at regular intervals, typically every 30, 60 or 90 days. This imposes burdens on the user and there are costs associated with recovering accounts.
Forcing password expiry carries no real benefits because: