On Win 10 using Edge/Chromium in InPrivate mode, Ring doorbell notifications are not sent. This seems to be by design as my Ring acct web page stated this and the Control Center won’t allow turning on notifications. Can this limitation be removed? InPrivate mode is useful and Ring notifications are also useful. If this limitation cannot be removed, then please don’t end-of-life the Win10 Ring desktop app, which works wonderfully well and doesn’t have the limitations and idiosyncrasies of a browser app.
That’s pretty much the function of InPrivate mode.
If you still want to receive notifications just leave a “normal” browser open in addition to your InPrivate browser.