Former uni administrator at a highly ranked engineering program here, now retired. Also a background in data science.

I wouldn't worry about it too much. Engineering isn't easily automated, and the automation that does get done needs to be designed and implemented by engineers. Engineers are basically the economic apex predator.

Areas that are traditionally in short demand are materials engineering and environmental. I might be careful around Chemical mostly because it's dominated by the petrochemical industry and it's unclear what's going to happen there. Ideas offered below are good - photonics, EE in general.

But here's the suggestion I give everyone. Learn to code, learn data science. These are turning into such broadly applicable skills that having them concentrated in a single major like Data Science or CS isn't going to fly. The real value is in domain experts of any kind that have these skills. Even if Civil Engineering got automated out of existence, the last guy out the door will be a Civil Engineer training those systems, relying on programming and data science to do so. A job I had before working in engineering was doing programming in a humanities project - people that knew classics and can code are VERY few and far between, and that got me in the door.

Learn python. It's a very practical language - lots of applications. Dominant environment for data science right now, and likely the foreseeable future. Learn a lower level compiled language as well. I'd choose Rust for a variety of reasons related to learning good coding practices, plus it's interesting. Just put these in on your longer term to-do. Take some electives in college. Turn them into a hobby.

But pick the discipline that interests you. Keep in mind that the options are a combination of horizontal disciplines and vertical (industry) ones. The broad horizontal ones are Mechanical, Civil, Electrical, Chemical, Materials, Industrial. The vertical ones are Aerospace, Biomedical, Environmental, Petroleum, Software etc. Generally speaking the former are a little more marketable over a career because they build off of fundamentals. The latter may get you up the ladder faster at first, but are built a little more off of where industries are today, and may not prepare you quite as well for where industries are going later. Probably not a huge thing to worry about but a lot of aerospace engineers really hit rough times when the aero industry collapsed in the 90s and had to wait for it come back. The MEs or EEs that worked there could more easily jump to completely different industries.

I'll note that my son is an EE at a Bay Area company 2 years out of college. He does circuit design for high value/low volume hardware (engineer to engineer firm). Most of what made him marketable didn't come out of the classroom. He was interested in it before college and tinkered and learned on his own. He couldn't do the math or really explore the theory, but he showed up knowing the tools, was probably better at soldering than our techs were, was accustomed to reading spec sheets and so on. That confidence really paid off. His bosses love him because he's productive - he writes code to automate his tools. He does his own data science work, doing data collection and analysis. He can go in lot of different directions. He learned to program playing Minecraft. He got interested doing circuit design with redstone. You can learn a LOT outside of school. Go find your interest.