It is highly recommended to listen to this interview with/presentation by the Russian Professor Dmitry Suslov, who appears to have some insider knowledge of the thinking of Russia strategic community. He articulated a coherent framework and a set of principles of Russia strategic thinking.
A couple of notes:
The interview was conducted in November 13, 2021 before the flurries of high-level diplomatic meetings between Russia and the US, and the most recent Russia "ultimatum." The latter appears to be a bit of contradictory to Russia's "strategic patience" dealing with the US/NATO that Suslov. But I would argue that the framework laid out by Suslov is still valid from Russia perspective, it's just that the fast strategic developments on the ground have caught up with some of the principles. Heck, before the meeting last March at Anchorage, China was still proactively pursuing a policy of largely accommodating the US.
During the Q&A at the end of the video, the host asked Suslov some questions about the asymmetric power between Russia and China. One of them is what Russia would do in the case of a China-US conflict on Taiwan. Suslov previously laid out that Russia prefers a low-intensity conflict between China and the US, which gives Russia larger freedom of action, but Russia does not like high-intensity conflict between the two because it would force to Russia to choose side. To answer the Taiwan question, Suslov said that in the current environment, Russia would have to take the side of China. I suppose this is the same logic that if the US/West severely sanction Russia, China should support Russia, as much as China would not like to get into such a situation in the first place.
The video is a bit long, but worth watching.