Note that in Russian doctrine as tought in universities, the Cold War never ended.
This seems like needless pedantry at least for a conversation outside of school. The USSR (with whom the Cold War was being fought) was dissolved and Germany was reunified. For all intents and purposes it did end, just a new conflict (now with Russia) began.
Andrei Piontkovskiy, in addition to two known World Wars, considers the Cold War as the World War III and the current war in Eastern Europe as the World War IV. His parallels are that WWII was fought by Germany dissatisfied by the results of WWI, and WWIV is fought by Russia dissatisfied by the results of WWIII.
This analogy doesn't hold for "WWIII" though, right? By this analogy, I would call the current crisis "Cold War II".