The gospels do claim that Jesus is the Messiah. But you are correct that the Christian understanding of Messiah is quite different from that in the Tanakh.
Your first sentence is absolutely fine.I would not add or remove anything from it.
You say that is 'quite different' from that in Tanakh.What is it that makes it so different?
The name 'Tanakh' means the same to me as "OT" for example.
They represents the Jewish History in two different belief groups and are just names to me , nothing more.
You again forget that 'Tanakh' was formulated by the Jewish community in post-Christ era.
So the events before that are very important.
You(not you personally) don't accept that He is He,we get that and nothing can be said further.
But just by saying that He is not He is not enough alone.
So what was Jewish then split in two ways.
-One remained in the corpus of traditional Jewish understanding , and the other one was something new - called Christianity.The writings in Acts say that people at first considered themselfs as Christians in the city of Antioch.That is only few years after the crucifixition.
What was considered as The Torah , Neviʾim, and Ketuvim continued to be 'The Tanakh' sometime after the fall of Jerusalem.
And we have evidence that suggest Acts were written before that.
The absence of Peter' and Paul' death in the whole NT is reason alone to belive that they were written earlier.
Because no one can agree what would be the reason about it.Why their death is not mentioned.
It could be anything else and the fact that their death is not mentioned it because they were still alive.
That is where the argument comes to its end.
Either there were really alive and that is how we can say that the events can be traced to that time.
The NT is not a book of guidence itself.It has two parts
In the first it speaks about the life of a Jewish man who was probably called Yeshu(a).In Galilean pronunciation, the most likely form would then be like the Syriac, but with slightly different vowels (as Galilean had one a-class vowel, and shwa intertwined with it with syllable forming rules) so I would wager /naṣəraya/.
This would bring it to /yešu(a) naṣəraya/ or /yešu(a) də-naṣəraya/ (the də- being a more explicit "of").
In the second it speaks about the life of the Apostoles and what was Jesus considered as - after his death.
'The Lord' associates with the name of God in Exodus.
The Lord is translated in Koine as Kyrios
about 700 times in New Testament and refered to Jesus.
YHWH is associated with the Son of Man in Daniel as "The Son of Man" is being worshiped in that vision and he is viewed as a human being.We know that worship back then was to God Alone.So we have the narrative of Daniel 7 who is telling us somehow that This "Son of Man" is subject to worship.
We know that God is not a man and you refered to it several times when we discussed.
We as Christians , we ourselfs have limited understanding of the Trinity.
When we are being confronted with the question "In what God do you belive , we say 'In the Father , in The Son , and in The Holy Spirit.'
I don't say 'the Christian God' , because it is wrong to say it like that.We have knowned him as the Holy one of Israel.
When i read "God is not a man" by that i mean Man as Man cannot be God.But he was not born like every man.
That's what the narrative is telling us.
That he was not an ordinary man.
There are two ways to reject Christ:
-By rejecting his Miraculous birth(existence).
-By rejecting his Miraculous Ressurection(divime existence).
The word 'Miraculous' itself requires only faith.Otherwise it won't be Miraculous in the first place.
When i say they were written i don't mean written as a Book.There were no Books at that time.There were manuscripts written on papyrus.
There is nothing indicating that the original Gospels are destroyed , it is considered that information regarding them was lost with time.