Old Type C Schengen expires after type D [closed]

I have just moved to France with a 'Blue Card' work permit with my son and wife. We have type D visas (3 months to begin with) running out this week and have already applied for our first carte de séjour. As of right now, we have the receipts for our carte, which allow us to travel within the EU freely.

Now here's the problem: I have a trip planned to Dubai (Turkish airlines via Istanbul) during the time when I don't have the carte de séjour. I have been granted a temporary extended visa for my professional visits, but that doesn't extend to my wife.

My wife, however, has an overlapping Schengen type C visa, that was granted prior to the type D and expires long after the type D.

In short, my question is: can my wife come into France on the type C Schengen?

Clarifications:

Both my wife and I have applied for our first carte de séjour. We have receipts which act as proxy visas within the EU, but not to enter the EU (for your first Carte DS). Application for my son can only be done once we get ours because he is 7 months old
@phoog: correct, we wish to travel to Dubai and come back to France.
None of us have carte de séjour yet. I have been given an extended 'return visa' which is given under exceptional circumstances such as medical emergencies or for professional reasons. I was able to get a letter from my employer to prove professional reasons. My wife doesn't have this return visa.
My son doesn't need the visa because, as a minor, he qualifies for a document called the DCEM, which allows to travel into the EU.
My wife has a Schengen which should still be active. It was issued in Sep'15 up to Sep'16. We got our type D visa from May 16 to Aug 16.

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Is my Schengen visa still valid after Brexit?

As of January 1, 2021, the United Kingdom is officially a no longer a member of the European Union and its relationship to the Schengen Agreement remains unchanged. The Schengen visa does not give you permission to travel to the UK, but Schengen travel assurance from Europ Assistance covers you!

How can I extend my Schengen visa type C?

Generally speaking, you cannot extend a Schengen Visa during your trip, apart from in exceptional circumstances. If you want to extend your trip you will have to exit the Schengen Area and apply for a new visa to return and continue your visit.

What happens if my Schengen visa expires?

Authorities will also punish you whether your overstay beyond your Schengen Visa's validity was intentional or unintentional. You could receive a fine, immediate deportation or even get banned from entering the Schengen Area for a period.

What is D category Schengen visa?

Type D Schengen visa or national long-stay visa The national visa is the type D long-stay Schengen visa. It is mandatory for any foreigner wishing to study, work or live in a Schengen country for longer than 90 days (up to 1 year).

THE SCHENGEN ZONE TRAVEL EXPLAINED - DIGITAL NOMAD TV

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