Zedekiah has nothing to do with the Gentile times. It had begun before his reign. The scriptures say so.
2 Chron 36 13 " He also rebelled against King Neb·u·chad·nezʹzar,".
Zedekiah was not sovereign if he could rebel against Nebuchadnezzar.
Note 2 Chron 36 concerning Jehoahaz "the king of Egypt deposed him in Jerusalem"
the king of Egypt made Je·hoʹa·haz’ brother E·liʹa·kim king over Judah and Jerusalem and changed his name to Je·hoiʹa·kim; but Neʹchod took his brother Je·hoʹa·haz and brought him to Egypt.e
Sounds like that is when the Gentile times began.
As for the OP's question. There was a question from Readers about this. Do your research.