Yes, balance of power was a doctrine for the UK, but in this TL after 1919 there is no such balance, the CEC has achieved a blatant hegemony in the continent and UK has to live with it, so a new realistic doctrine needs to be developed.
That mean giving a damn of what happen to Europe forever and ever, very convenient for Germany...as usual; still if the CP why try an agreement with the British? If France and Italy have still some capacity London will support them economically and logistically if not, a second world war it's not necessary except for further humiliate the once time enemy
The USSR has the capacity to recover from B-L in two decades. I remember in the early 90s that many 'political experts' claimed that Russia would never recover as a relevant power after the collapse of the USSR...and you see.
Russia biggest hold on great power status it's his nuclear arsenal (things here not present), plus neither NATO or the EU were a militaristic allaince in name only but in reality something more akin to Comecon/Warsaw Pact bent on continental domination that will not like very much any soviet warmongering or military rebuilt, not considering that Russia received a lot of economic and humanitarian aid while here she need to pay reparation to Germany
France and Italy wanted a powerful ally but UK did not want to support them, so they did not resume war by themselves. When the USSR recovers, then they see a new opportunity with a different ally.
They see what? A new opportunity to be dismembered? Look at the map you have created?
Italy on the North East had a much less defensible position while Germany had a much easier way to attack, same for France and they have also lost important iron basin ang German troops had basically razed the occupied zone, plus nobody will be so stupid to not believe that the Belgium goverment will not allow at the German troops free passage.
Not considering the destruction caused by the war, the political chaos, the economic problem, how anyone in Paris or Rome can have think to have a possibility in such a war or even desire for another round? They can barely stay independent, and frankly i doubt it as Germany in this stage will dominate the entire european economy.
Frankly they will barely hold together, maybe if for some absurd reason the URSS it's extremely succesfull against Germany they will try to get concession from Berlin in exchange of neutrality, but actively think to attack megaGermany? Only if some ASB transport the Force de Frappe from OTL to them