Why are you continuing to promote these half truths?
42 And when the Jews were gone out of the synagogue, the Gentiles besought that these words might be preached to them the next sabbath.
43 Now when the congregation was broken up, many of the Jews and religious proselytes followed Paul and Barnabas: who, speaking to them, persuaded them to continue in the grace of God.
17 Now when they had passed through Amphipolis and Apollonia, they came to Thessalonica, where was a synagogue of the Jews:
2 And Paul, as his manner was, went in unto them, and three sabbath days reasoned with them out of the scriptures,
3 Opening and alleging, that Christ must needs have suffered, and risen again from the dead; and that this Jesus, whom I preach unto you, is Christ.
4 And some of them believed, and consorted with Paul and Silas; and of the devout Greeks a great multitude, and of the chief women not a few.
4 And he reasoned in the synagogue every sabbath, and persuaded the Jews and the Greeks.
There's nothing in any of the references you gave saying only gentiles. The synagogue wasn't a place of gentiles. The synagogue is the primary place Jews gathered. Paul says more than once to the Jew first.Also nothing about gentiles only. The synagogue was where Paul went first until they kicked him out.