I guess that Paris could survive if one of two things happened (both require the Italians to take it and they fail). The Germans attack, but get bad dice and are forced to retreat, leaving it for Italy. A German planned hit & retreat (saving valuable units), leaving it for the Italians so they have extra income to compete w/Brits in the Med, set up defense of the continent, and/or get more troops to the eastern front.
I can’t see the Brits sacrificing the RAF by flying it over to Paris on UK1 in an attempt to hold it from the Italians. Even if successful and the French get to build inf, the Germans would pound the hell out of it on G2.
A couple French subs off Normandy would be cool with the Germans not starting with a dd. Bolstering the Med fleet off S France w/subs, or even a carrier would be funny as hell. The French coastal ICs would most likely be in axis hands on the French turn though, so building navy probably won’t be an option. I guess that if the Germans didn’t take the coastal tt(s) for some reason, or the UK was able to liberate one or both of them on their turn, the Italians could fail to capture Paris (dice?) and not have a path to Normandy (their one tank blocked by Paris and S France).
I think I would buy another AA gun, if nothing else it would PO those that oppose the French capital having one to begin with forcing them to possibly risk air units