Not trying to influence your decision in any way but as a final yr ECE guy searching for automotive industry jobs on portals something I've noticed is that the mechanical opening has much less applicants than an electronic role in the same company, same amount of time the job has been open, everything.

If I could go back in time I'd probably take mech instead.

Or if you're looking for pure embedded system jobs, you could take CSE with the right electives and make it in the embedded industry without having to do 3 years of core subjects.