My players are starting to use spirits, and I want to make sure that I get this part correct.

Let's say that the spirit has already been summoned and is in astral. At the beginning of combat. Would it go something like this? I always made the assumption that when the spirit attacked it would just materialize for free (or something) and attack on Initiative 26. 

Initiative Order + Action:

 1. Spirit: 36. Action: Waiting

 2. Magician: 25. Action: Command Spirit (simple action) to attack Mook with Elemental Attack.

 3. Mook: 20. Action: Something...

 4. Spirit: 26. Action: Materialization (complex action)

 5. Magician: 25. Action: Starts wishing his spirit would show up faster.

 6. Mook: 10. Action: Something...

 7. Spirit: 16. Action: Elemental Attack (complex) against Mook.

 8. Rest of combat...

Is this correct?