Does the letter "waw" in the two testimonies of faith imply equality, and is it correct to say that the testimony "Muhammad is the Messenger of Allah" is equal to the testimony "There is no god but Allah"?

The Two Testimonies (Shahadatayn) constitute a single pillar among the pillars of Islam, and they are intertwined. The conjunction "and" (wa) in them indicates the sharing of the two phrases in the ruling and their equality in it. Thus, a person's Islam is not valid except with both of them together. They have been mentioned together in most narrations because they are a single characteristic, and for the validity of Islam, it is necessary to pronounce them in sequence and order. And it is not possible to know that there is no god but Allah except through the message (of His Messenger).