The Sign In widget on the Mozilla account page includes confusing strings

Description

For users who are not signed in, the widget on https://www.mozilla.org/account/ looks somewhat confusing:

• It's called Sign In.
• A string at the bottom says: Already have an account? Sign In.
• The Sign In link from the string mentioned above redirects to https://accounts.firefox.com/, where you can both sign in and sign up (with no special flow for signing in).
• When entering an email not associated with an account into the widget input field, the sign-up workflow is triggered.

To address the above, I suggest renaming the widget (e.g., Sign In or Sign Up) and removing the "Already have an account?" string.

Steps to reproduce

Go to https://www.mozilla.org/account/, not being signed in to your Mozilla account (if you use Firefox, you have to be not signed in on the profile level as well).

Expected result

It is clear that the widget allows you to both sign in and sign up without taking any additional action.

Actual result

The widget tries to create an impression that it allows only one flow, but hasn't decided which one yet.

Environment

Any?

Open https://www.mozilla.org/account/ while signed out and inspect the widget's displayed strings and sign-in link. Locate the source for the widget text, then verify that the widget clearly supports both sign-in and sign-up and no longer shows the confusing "Already have an account?" string.