It's not Rust and TS, instead C and JS, but Emscripten has a very nice way of integrating C/C++ and JS (you can just embed snippets of Javascript inside C/C++ source files), e.g. starting at this line, there's a couple of embedded Javascript functions which can be called like C functions directly from the "C side":
I’d love to see a production architecture and file structure for this setup if anyone has a pointer to a GH repo or something similar