coding rehab floor

We have a physician that sees patients at a hospital and they have a rehab floor, like a nursing home in the hospital, and she questioned whether she should bill as subsequent hospital or New consult since it is a different floor and the patient was "admitted" by a new physician to that floor. I am thinking since it is still in the same hospital that this would be subsequent hospital visit, am I correct?

Also if there is a Nursing Home in the hospital would that be billed as a nursing home visit or hospital visit? Does it come down to tax ID of the floor, eg same tax ID as hospital use hospital codes, different ID use nursing home codes.

Thank you!

coding rehab floor