After you file

That may help, but it is a two-part entry.    Make sure you are completing a Resident NM tax return and not a non-resident return.   

You have to check the box on the Qualifications for Rebates and Credits screen first.    And then later in the state interview, you will be allowed to enter the detail of the form you have that was signed by the hospital, but you have to check the box on the earlier screen first.  

Then later in the interview, near the end, you can enter the details on the screen shown below.   You won't be able to fill in the EIN of the hospital unless you checked the box on the screen above.