Its javascript so you should be able to just use network inspector tab in chrome. I did try briefly and didn't see it, but it really should be in there somewhere.

There's also https://www.npmjs.com/package/stockfish.wasm https://github.com/lichess-org/stockfish.wasm

If you're still stuck and need to get emscripten working -- I've had success using WSL to compile emscripten on windows, so if you go that route its just a bunch of command-line calls.