Nope, this is no analogy, but an example. Mexiko never could do that what russia did.
Ucraine is no proxy. What russia is doing to ucraine is war. That's the West support ucraine is selfdefense. Putins goal is more then getting the ucraine. Putins goal is a great Ruß. And this will enclude the baltic states, too. Putin had only underestimated the ucrain nation and there will to be free.
Origin he expectet to defeat Kiew in weeks.
But this had not worked.
First of all do you know how geography is laid out in the globe?
Ukraine is near Russia. Texas is in USA.
Russia "taking" Ukraine is not the same as Russia "Taking" Texas, because Russia is about half world apart from USA.
This is why the closest analogy is Mexico taking Texas because Mexico is close to United States.
Secondly, i know that you watch too much liberal news in West Germany but the war with Ukraine and Russia is not Ukraine and Russia but more like Ukraine and Nato, or if you wanna get more granular it's USA vs Russia, hence it's a proxy war.
This is the same as Russia having nuclear missles near Cuba. Last time that happened we got close to WW3.
Similarly, Russia does not want Nato near its borders.
Thirdly, Putin underestimated Western support because Ukraine exists because of military equipment support and money support form the West.
Forth - when this exact thing happened in Kosovo in the 90s, USA did a proxy war with Russia who supported Serbia and USA supported Kosovo.
Why are you so confused? Do you get out of your zone once in a while?