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Their strategy is 'v pieriod, blyat' ('forward bitch') no matter the consequences. Eventually, they will run out of resources.
I appreciate your optimism! It seems that Russia should have run out of missiles in early March.

Did someone mention Wali, the sniper:
https://youtu.be/6uCLYAXuQPo?t=12 "I would be more afraid of a number of NATO soldiers than the equivalent Russian soldiers". Translation: Putin is sending Tactical Cannon Fodder to the front.
This is an old video, since then Wali's opinion has changed a lot. A sniper has little chance in a situation where the Russians use artillery instead of sniper rifles.
Running out of missiles, that is unlikely. Being able to replace the ones used without access to any advanced microchips, that is more than unlikely. Sanctions are slow, but persistent.
The use of missiles depicts a situation in which that is the only option and certainly an inadequate one. These are very expensive and are a weapon of choice for a certain range of targets that are high value, strategically important and are clearly located and researched (for example, sinking the Moskva is a perfect use for missiles).
Using a missile to hit a civilian building actually reveals that Putin's Psychos cannot use anything more "appropriate" near Odessa. To put it plainly: a couple of artillery shells do nearly the same effect at a tenth of the cost and the effects can be better predicted and evaluated. Putin's army has not run out of missile, it has run out of steam.
Mobilisation would be a solution, but Putin knows the political cost of doing so: Recognising before his own that Russia is a belligerent nation in an ongoing war and getting bodybags / plenty of human ashes delivered to the door of Russian mothers and widows.
Options are very limited for Putin and none of them are good - just no worse than others.
RE Wali, I take it as a personal experience and for what he says, Ukraine needs to make better use of this type of experts. The good thing is that at least they are sober, not like the unmotivated and homesick youngsters that Putin is sending to the front.