Rita starts by checking the layout in her visor. Nothing seems to immediately stand out as a place Ignatius might be...

"I don't know where to go from here," she admits to the others. "But I have a boon from the Gilded Mark. There are a number of ways it can be used, but it's a one time deal. I could try using it to find the way to Ignatius."

Whether she does or not, she'll at least let the others know it's an option.