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I'll share share some footage quickly:

Here's the Unicorn (left) karate-chopping a [116-meter tall superfortress](https://gundam.fandom.com/wiki/NZ-999_Neo_Zeong) and facetanking basically a Death Star

Here's the Freedom (center) showing high-speed flight and combat (a weaker version of it has brought down a [57-meter-tall](https://gundam.fandom.com/wiki/GFAS-X1_Destroy_Gundam) war machine)

Here's the Nu (right) pushing back an asteroid (the backpack is different but the base mech is exactly the same)

Also, OP specified that they gain perfect flight, so they're equally as agile under Earth gravity as they would without it.