None of the Bible pertains to you and me when we consider that we're not Israel.
Ah, but what is Israel's role? It is to be a light to the Gentiles. And as Jesus noted, a light should not be hidden under a bushel basket. We are adopted in to Israel's story and sprout from there.
At any rate, the Bible is not the Gentile's story. It was not written by, to, or about Gentiles (except insofar as we can count the diaspora as Gentile).
Ethnic Israel was nearly always a rebellious and conquered minority, never really growing and prospering, never really honoring God’s directive to be the light for the nations (Is 49:6). Though a few outsiders did join, such as the Queen of Sheba and Queen Helena of Adiabene and others as recorded in Esther 8:17 and recalled in Hebrews 11, Israel alienated herself from her larger communities; by and by, she failed in her directive. And more than that, she allowed the Satan into her temple.
Hence the Messiah, who came only for the house of Israel. He left the work of proselytizing to his disciples. So, yes of course foreigners are free to enter, and that begins to happen as Israel's history comes to a close.
So Paul lied?
I don't believe so.
Then....the Bible IS for us.........
I didn't say it wasn't. I said it was Israel's story. It was written by, for, and about Israel. Israel's job was to proselytize to the foreigners, not the foreigners' job. Israel had the prophets and the Law, not the foreigners. Israel performed miracles and cast out demons, not foreigners.
The Lord appeared in clouds of heaven to Israel, not to foreigners. That is, until the Parousia.
The Bible is for us because we've been grafted onto the tree. The story, though - from about Genesis 15 and up to the Apocalypse - is ethnic Israel's.