Hello Planetnine,
a tutorial how to make your own moving sky textures is described in the linked
thread.
As I mentioned above, that thread has the same topic and has some other variations.
What you need are
seamless textures !
Just like the ones for world textures for example (or static skybox).
Textures are placed like a mosaic and MUST therefore be seamless:
Left side matches right side and upper side matches lower side.
There are existing software that can help you with it.
Best wishes,
Seven