Is the sequence of the Adhan (call to prayer) legally valid if not ordered sequentially?

Primary text

The Adhan is invalid unless performed in sequence because the purpose of the Adhan, which is announcement (I'lam), is compromised if it is not ordered sequentially; if unordered, it is not recognized as an Adhan. Furthermore, it was originally legislated in sequence, and the Prophet, peace be upon him, taught Abu Mahdhurah to recite it sequentially.