Street Fighter 6 is the first entry in the series to give players the option of using multiple control types. While Dynamic Controls are meant for more casual play, as it essentially allows newcomers to perform cool combos by pressing a single button, Modern and Classic controls give players better control of their characters.
These two control types are also available in World Tour mode for your avatar characters, but switching between them is not as intuitive as it is for all the characters in other play modes. You will also need to make some progress in the single-player mode before you are able to do so.
After completing some tutorial missions teaching you the basics of World Tour mode and of Modern Controls, you and Bosch will team up to fight Luke. As your character will be at a pretty low level at this point in the campaign, you will likely be defeated. Don't fret, however, as even a loss will move the story forward.
After this battle has been completed, you will finally become able to switch between Modern and Classic controls. To do so, open up the Multi Menu, pick Options, then head to the Controls tab and then select the Avatar Battle Control type.