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Generally, CSA victory TLs wank the Confederacy, and frequently do so at the expense of Mexico and Cuba. So I was thinking, what if the opposite occurred?

Let's say some independent Southern breakaway gains its independence successfully by the mid 1860s using a POD whenever we please. Let's say that it controls the Arizonan and New Mexican territory claimed in OTL. Let's say that this CSA, taking a cue from the many TLs on this site, invades Mexico in hopes of gaining more territory and a Pacific coastline. What happens if they lose, badly, and Mexico takes the CSA's Arizonan and New Mexican territory and the Texan territory they claimed in the Mexican American War?
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