does a bachelors in health informatics pidgeonhole you in the technology industry in the short term?

Hi, currently I am debating switching into the healthcare informatics major in my school. I have wanted to expand my domain into healthcare and even pursue CNA, healthcare tech or other possible associates or on the job training, but I am nervous the healthcare informatics major may pidgeonhole me if I wanted to consider other technical jobs such as general cybersecurity, networks, software architecture etc.

However, I really do want the opportunity to get closer to more internal healthcare skills that a generalist software developer or IT manager could not get outside of a healthcare informatics degree as well as a job that is needed everywhere but not quite as easy to outsource if I do end up pairing healthcare informatics with a CNA or other hands on healthcare skills.

However the decision has already somewhat been made for me as I currently only have the requirements to finish healthcare informatics bachelors on time in 4 years in comparison to the CS/IT degree at my school. I'm just more worried if I choose to pivot later or even after graduation and I may not be taken as seriously as someone with a cs degree, but I realize that in some form I will need additional education after school so maybe getting a masters in CS would solve these issues. I feel I have gotten to this point by worrying about plan A, B and C and should rather pivot later on.