In 2023 progressive/democratic socialists won a majority, previously held by moderates. See https://en.wikipedia.org/wiki/2025_Minneapolis_City_Council_election for lots of background info.
Will judge yes based on reporting from reputable sources and Wikipedia. If there's no consensus on which "side" has a majority in post-election analysis by the closing date, I'll judge N/A. A strong indication of "yes" would likely be All of Mpls (moderate democrat organization) endorsed candidates (currently appear to be listed at https://www.allofmpls.org/minneapolisprecinctcaucus-1) winning a majority of seats.
Similar question last year in San Francisco https://manifold.markets/AlexShadley/will-moderates-win-a-majority-on-th-75031deba982
For the Minneapolis mayoral election happening at the same time as the 2025 council election, see https://manifold.markets/MikeLinksvayer/who-will-win-the-2025-minneapolis-m