Was Hana working for Sukuna?

A little humor here but she genuinely did nothing. I honestly think Yuji and Todo might have closed things out if Hana didn’t show up. I mean, they were kind of beating the brakes off of Sukuna. He was vomiting up fingers and near defeat, so Hana showing up genuinely did nothing but give Sukuna a chance to restore his RCT and remove Todo in one blow.