Thanks in advance!
You aren’t going to be able to make an app control another app like a human on iOS.
Instead you would need to look for apps that support Shortcuts integration or look at interacting with the Hue lights directly via a programming interface (API).
Honestly, I’ve not come across controlling hue lights via anything other than a bridge, so I’m not sure what apps would work here. I know the bridge has an API (I use it regularly via my Mac), and all the apps I have use my bridge to control the lights.
Maybe you can swap them for the new Bluetooth based Hue bulbs that don’t need a bridge (but have limited functionality)?
(I’m happy with the classic ones and a bridge myself)