tefilla - What is the point of Davening/Praying

What is the point of praying?

It is for sure not because Hashem needs/wants it. (Hashem is not lacking in any way he is infinite, and thus does not need our tefillos or our mitzvos)

And it seems that the point of davening is more saying the words then thinking the words -- the proof of that is because davening is not accepted if you only think (and not say) the words and there meaning.

But on the other hand it is accepted if you only say the words and not think the meaning of the words.

So even though I agree that thinking the meaning of the words are important but we see from this that saying the words is more important and the main point of davening appears to be just saying the words.

So what is the point of just saying words?