I've used bazel for about 10 years, all in small orgs. Right now, single digit team.
I don't think there exists a better solution for a project mixing Java and C/C++ than Bazel. The new module system for bazel has matured a lot. As an example, it's trivial to add boringssl and access it from Java.
This is fair. mise (by design) does nothing to help with that sort of thing. It's also definitely designed for languages outside C/C++, and to a lesser degree Java.
mise tasks are basically just fancy bash scripts though, so I could totally see a setup that uses mise tasks/tools for node/js/ruby and dispatches to other tools for building Java and C/C++.
I don't think there exists a better solution for a project mixing Java and C/C++ than Bazel. The new module system for bazel has matured a lot. As an example, it's trivial to add boringssl and access it from Java.