Prophecies of the Messiah in the book of Amos

Messianic Prophecy: Gentiles would believe in the Messiah:

Prophecy:

“In that day I will raise up the fallen booth of David,
And wall up its breaches;
I will also raise up its ruins
And rebuild it as in the days of old;
That they may possess the remnant of Edom
And all the nations who are called by My name,”
Declares the LORD who does this.

Amos 9:11-12

Fulfillment:

After they had stopped speaking, James answered, saying, “Brethren, listen to me. Simeon has related how God first concerned Himself about taking from among the Gentiles a people for His name. With this the words of the Prophets agree, just as it is written,
‘AFTER THESE THINGS I will return,
AND I WILL REBUILD THE TABERNACLE OF DAVID WHICH HAS FALLEN,
AND I WILL REBUILD ITS RUINS,
AND I WILL RESTORE IT,
SO THAT THE REST OF MANKIND MAY SEEK THE LORD,
AND ALL THE GENTILES WHO ARE CALLED BY MY NAME,’
SAYS THE LORD, WHO MAKES THESE THINGS KNOWN FROM LONG AGO.

Acts 15:13-18