I hope we do not have a name for every "style" of "stuff" because we would need to learn a lot of names because the combinations are exponential. Sayed that:
You have to differentiate several things about a character. The underlying idea below it. I will make a list of ideas you can use for your search.
In this case, I see geometric 3D cartoon as a base. https://duckduckgo.com/?q=geometric+3d+cartoon&t=h_&iar=images&iax=images&ia=images
I see a flat-shaded 3d cartoon. https://duckduckgo.com/?q=flat+shaded+3d+cartoon&t=h_&iar=images&iax=images&ia=images
I also see it as the evolution of flat design, which comes in some forms, isometric cartoon. This is not isometric, but the idea is going from a 2D character to a 3D one, even if it is drawn in vectors as an illustration. https://duckduckgo.com/?q=isometric+cartoon&t=h_&iar=images&iax=images&ia=images
It also as mentioned have a style of classic cartoons, "Pink panter and the inspector" comes to my mind.
But here is a thing. You need to go and learn the real bases of character design, not go and copy a style you found on the internet.
In fact, these cartoons work very nicely because they understand the essence of the character, a fat rounded general, and more squared soldiers. More expressive eyes on the main toon and more emotionless eyes on the other ones.
Study some basics about expression, not only on the face, but also on the body, angles, etc.
In short:
Separate the underlying idea of a character. Give him a basic shape.
Give him expression, body language, and facial expression.
Define a render style, in this case flat shaded.