Is it smart to be a Data Engineer before Data Scientist?

Im currently in college for Computer Science. Once I graduate I’m debating going swe-> data engineering. Iwant the strongest grasp on everything Data Scientist related.

I don’t want to fall into the section of Data Scientists that I’ve heard others on this sub say are pretty much just Data Analysts.

Would it be a smart move to go the DE route while working on a masters of science in Statistics once a I graduate undergrad? To build skills before transition …

data data engineer datascience data scientist engineer smart