No, your career will not be limited to the data science field. The students from this branch have many opportunities as the course is more related to the field of CSE.
As we know, CSE is a broad area of study, and you will get a chance to switch to the CSE field as a Data Science student. During the first year, you all have the same course curriculum to follow and study. Even the electrical engineering students got a place in the CSE field. IIT Mandi has the best placement support in the CSE field, which is also beneficial for data science students.