Well, there goes your last shread of credability idov. What else are you going to lie about next. Synagogues were present in Israel as soon as after the return from exile and through Jesus' time. Before that there was no need.
Porphyry, a Greek philosopher, using textual analysis exposed Daniel as bogus.
Boy extra special sauce. His objections were based on the a priori supposition that there could be no predictive element as such in prophecy - not textural analysis.
You should really stop digging yourself any further into the hole
No synagogues as houses of prayer. None. Zilch.