Developing and testing features or extensions for Microsoft Edge
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I have specific requirement to open two different sessions thru Chromium Edge Browser. When I launch URL first time it should not launch in -inprivate mode but user can allowed to launch another session for the same URL in second time using -inprivate mode.
Chromium Edge browser can only allow one instance in -inprivate mode hence we can not use Shortcut. We also don't want to have two short cuts to be used by the users (one in normal mode and another is in inprivate mode).
We can use Powershell, any console application to launch the URL.
Note: after Launching URL in first time we have some values stored in cookies as well.
Developing and testing features or extensions for Microsoft Edge
This is not a supported scenario.
You could add multiple profiles and each profiles would have their own sessions but you only have one InPrivate session.
You may try one InPrivate session and one Guest session instead.
You may use the feedback option in the Microsoft Edge to share feedback you want to have multiple InPrivate browsing sessions and make sure justify why you want this feature.