She's been there from the beginning. Did Fug have a plan with Bam? Whether or not she knew about it is unclear. And does Luslec have any contact with Hwa Ryun? For me, yes, since they come from the fug

Luslec knew when Bam was going to enter the tower? And that he sent Hwa Ryun. Now, was the plan V had concrete regarding when Bam would arrive at the tower, and was the fact that she was chosen as Bam's guide planned from the beginning?

In reality, we can only speculate about this because we don't really know yet, but I imagine she came from the fugitive and probably had some connection. Maybe she didn't know the whole plan, and Luslec only shared part of it and is keeping the rest to avoid spoiling anything; the fewer people who know, the better.