Daniel 1:1 omits any reference to the year for Nebuchadnezzer but only refers to Jehoiakim's third year of kingship so it cannot be synchronized with JeremiaH 25:1 because Jeremiah refers to Jehoiakim's fourth regnal year and Nebuchadnezzer's first regnal year or his accession year. Nowhere does the Bible state that Nebuchadnezzer took captives in his acc year or his first year but only in the third year of Jehoiakim's kingship.
It makes perfect sense that Daniel would omit the year of Nebuchadnezzar's reign if he was in his accession year. That would have been, by Daniel's reckoning, Jehoiakim's third year. And that is exactly when Daniel said that it was.
You correctly indicate that Jeremiah's reference to Nebuchadnezzar's first year is his accession year, and then you ignore the fact that Daniel would have referred to the first years of Nebuchadnezzar and Jehoiakim as their accession years, which would not be counted by Daniel, hence he omits Nebuchadnezzar's year of reign and refers to Jehoiakim's 'third' year rather than describing them as 'first' and 'fourth' years.
There is no complexity, no guesswork of the reader to establish what Jehoiakim's kingship might be relative to. It is the simple, honest interpretation of the scripture which does not require twisting and contorting to fit a doctrine.
Anyone who has been following this thread can see that you are simply too stubborn to accept anything the Society hasn't told you.