chore: update toolchain to nightly-2026-04-29

[bitwalker]

Updates our Rust toolchain to 1.97/nightly-2026-04-29, and updates all of our dependencies as much as possible (though there are still a couple cases where we keep an older version) - I also didn't update any of the wit-bindgen-related deps.

I'm hoping this might make #1090 a little cleaner now that Rust has removed --allow-undefined from its default wasm-ld flags, but we'll see.

[bitwalker]

@greenhat I think we should remove the cargo-miden integration tests (specifically the ones that generate the integration workspace from the project-template repo) from this repo, and move them to the project-template repo (which already does in fact run the same tests AIUI). Those two tests fail every time there is some kind of weird divergence between nightlies (e.g. in this case, an older version of hashbrown was specializing on Copy and that isn't supported now, so it fails to compile). Since those tests aren't actually running the right version of cargo-miden anyway (because the version the generated integration workspace uses is pulled from crates.io), there is basically no point in running them in our CI.

[greenhat]

@greenhat I think we should remove the cargo-miden integration tests (specifically the ones that generate the integration workspace from the project-template repo) from this repo, and move them to the project-template repo (which already does in fact run the same tests AIUI). Those two tests fail every time there is some kind of weird divergence between nightlies (e.g. in this case, an older version of hashbrown was specializing on Copy and that isn't supported now, so it fails to compile). Since those tests aren't actually running the right version of cargo-miden anyway (because the version the generated integration workspace uses is pulled from crates.io), there is basically no point in running them in our CI.

I agree. Make them ignored and I'll take care of moving them to the project-template repo.