How she finds herself at his laboratory is mostly curiosity. There are plenty of places Ziio hasn't seen and to be fair, any opportunity to see Gordon when there's nothing hanging over them is usually one she should take. And if she has to be completely honest, the variety of things on her mind had to do with him.

So clearly spending more time with him would be beneficial.

Unsure of whether she can step in with him, however, she pokes her head in, looks about mostly guarded, and stays mostly put. "...Gordon? Are you in here somewhere?"