How do I learn the "switch flight style" spell?

[Nobully-blackrock (Nobully)]

@Rizara-dalaran

I checked that, but it’s not there.

@Xiata-bloodhoof

logout and see if there’s a patch

Is "Flying"/Skyriding bugged?

That’s correct. We deployed a fix for this bug 20 minutes ago, at 6:51 p.m. PDT. Now, player-characters that only unlocked Steady Flight prior to 11.0.0 can again use Steady Flight as expected.