I agree with leaving the sabers away for now.
I think that with Gallador are Xavier, Dak and Eller the Sage. Of course, we do not want all the enter together, which will look suspicious, we will enter an hour or so after Rand's team enters.
By the way, Ush, Gallador on the way is showing interest in the Harmony and the Force lore of Adelmo and Eller. Is Eller willing to explain more about the Harmony and its techniques?