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As of my last knowledge update in September 2021, there was no indication that Russia was running out of tanks. Russia has historically been one of the largest producers and operators of tanks in the world. They have a diverse fleet of tanks, including various models like the T-72, T-80, and T-90, among others.
However, the availability of tanks can be influenced by factors such as budget constraints, production capabilities, and strategic decisions. If there have been developments since 2021 that I am unaware of, I recommend checking the latest news sources or official statements for the most up-to-date information on Russia’s tank inventory and production status.