"Defeated" is an interesting way to look at it. My perception is that the administration was just using the Twin Cities as a distraction, like they do for basically everything. In the mean time, the higher ups get their business deals done while the commoners are busy wasting energy cleaning up the mess. In which case, they succeeded. Now, onto the next distraction, and then the next one, and so on and so forth.

Minnesota has a very high probability of sending 2 Democrat senators and all their electoral votes to the Democrat presidential candidate. Minnesota and the Twin Cities are of zero consequence to this administration, so why not use them as a distraction?

The primary goal of the administration, sweeping tax cuts, was already accomplished in Jul 2025, so even Congress is of limited value now until after the next presidential election.

https://en.wikipedia.org/wiki/Flood_the_zone

They certainly liked the distraction, but the invasion of MN allowed them to 1) catch some illegal immigrants, 2) intimidate legal immigrants, encouraging them to "self deport", 3) flex their power and demonstrate the ability to cause pain and harm to political enemies, and 4) give agents practice and training for the next city they invade. So far they have had these "surges" in Los Angeles, Chicago, Portland, and Minneapolis. There are plenty more cities in blue states and plenty of money left in their budget, and almost 3 years left in this administration.