Test that channel-based random circuits are correctly generated and handled

[mhucka]

PR #1056 currently tests only verify the default behavior where include_channels=False. It would be beneficial to add test cases or parameterize these tests to also cover include_channels=True to ensure that channel-based random circuits are correctly generated and handled.

[rosspeili]

Hey @mhucka can I give this a shot?

[mhucka]

@rosspeili Circling back to this: if you're still interested, we'll assign it to you.

[rosspeili]

Yes @mhucka

[rosspeili]

@mhucka Opened #1091 for this, waiting for ci checks to pass, and see if it needs adjustments. Followed the Gemini assistant's suggestions, let me know how it looks and if there's anything I am missing. Thanks.