Learning a language people do systems programming in can be a good experience but it doesn't need to be Rust for you to get that experience.
If you want to learn Rust because you want to, that's fair too.
Now, if you plan to do any kind of systems programming, C and C++ are unavoiable, as that is what the majority of the jobs still expect one to use.
Also, if you're "just starting" don't burden yourself with legacy stuff. Unlearning that when starting with Rust isn't a cake walk.
You may edit an HTML template here and there.
Maybe even some configuration work for CI/CD.
Rinse, repeat, with whatever new language/framework is hot right now.
Basically, you will be solving the same set of problems on every job, but in more convoluted and unnecessary ways, because the guy who worked at Google says that's how they do it over at the FAANG.
And I don’t even mean it’s a tragedy : I largely prefer doing CRUD-for-rent in a great company than technically fulfilling job under asshole management in some unstable startup.
Rust is a pretty good language but it's not the most used. Also you have to take into account that you can't use Rust on every field.
If you're looking to be an Android/iOS/web dev, Rust is not the best option.
Web technologies? CI/CD, IT automation, etc.?
Or something more like operating systems, robotics, hardware, drivers?
Or do you want to self-educate for the sake of it, to learn different paradigms and be a better programmer in general? (Everyone wants to do this, but not everyone has the time).
Golang and Python are incredibly popular in the automation/"glue code" space.
Java is popular in enterprise development (think banks).
Systems languages are popular if you're developing... systems.
For fun and interest? Why not?