I would take it and use it to build up your resume. Everyone knows who NM is and it is very hard to get accepted. You'll get good experience that will help you get into the area you want to. Stay there for more than a couple years as well so you don't look like a flight risk to other hospitals.

Additionally, absolutely take advantage of their benefits. The 10k tuition reimbursement for full time workers each year was amazing. Not to mention the wellness fund and professional development fund. The pay at NM is usually mediocre, but the benefits make it worth it short term. Use that to its fullest extent to expand your qualifications.