The question is about Chromium-based Microsoft Edge, so I'm asking the cohort to stick to that browser.

And the specific question is how to throw screen reader focus to the pop-up notification for saving a password when a password for a site without one previously saved is first accessed and the password entered AND the option for saving passwords in the Edge browser remains on.

I still can't answer the central question, as I turn off password management in any web browser, and I don't want to turn it back on for experimentation.  If someone is using password management in Chromium-based Edge and knows how to throw focus to that pop-up message when it pops-up, please share.
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Brian - Windows 10 Pro, 64-Bit, Version 20H2, Build 19042  

[Regarding the Supreme Court refusing to hear the case brought by Texas to overturn the votes certified by 4 states:]  Pleased with the SCOTUS ruling, but also immediately slightly terrified of where this crazy train goes next.  We should know by now there’s a bottomless supply of crazy.

        ~ Brendan Buck, former adviser to Speakers of the House Paul Ryan and John Boehner