Gamelin has a different reaction to the Dyle plan -
Ce n'est pas magnifique, ce n'est pa la guerre, mais vraiment, c'est de la folie.
The Battle of France is a strategic draw and a tactical Allied victory - the sickle cut is stopped and itself pocketed, leading to the surrender of Guderian and the panzerkorps.
Italy never enters the war.
There is a short break (the "Second Sitzkrieg" while both sides reorganise and, in the French case, press captured German AFVs into service). The war ends when French armor breaks through Luxembourg, shortly followed by the British seizure of inadequately-defended Ostend. The BEF and 7th Army push north through Nijmegen and Arnhem to circumvent the Siegfried line using 2 Commando to seize key bridges en route, while French armor destroys the bulk of Army Group C in a double-envelopment for which De Gaulle becomes justly famous.
With French troops on German soil, Hitler is deposed 22 August. There is a period of unrest in which many military and Nazi leaders are killed during coup and counter-coup. Hess flees to Switzerland, while Raeder ends up in charge to sign an armistice on 29 August.
Allied troops land at Danzig 1st September.
3rd September Chamberlain announces with regret that Premier Stalin has failed to withdraw his troops from Poland, and so a state of war now exists between Britain and the Soviet Union. France follows suit.
Belgium, the Netherlands, Spain, Italy, Japan, Romania, and Hungary all join the Paris-London Axis.
Nobody bothers with the sideshow that was the First Polish War, even here on AHC. The Second Polish War, and the Pacific War that will follow it, get all the press.