Yulete's Lab - The Entrance is there!

Do we have to pick "We want to help you!" or something? I've gone on three angry runs where we saved Romeo, but I can't go in the grate, Yulete's been dead at the end every single time.

I think you have to do it on the Zenumist side (save Juliet).
My friend tried on the Alcadno side, including choosing "we want to help you", but Yulete was still dead at the end. Then my friend went on the Zenumist side, did everything the same, and Yulete remained alive and repented.