cargo install --list does not recognize the installed binary

[NinoScript]

I have a script that checks cargo install --list to see if cargo-edit is installed.
From cargo-edit, we use the cargo set-version subcommand. In this case, I can modify the script to check for the cargo-set-version binary instead. Still, ideally cargo install --list should work as usual, or a note could be left in the README about this caveat.

---

After installing, the $PATH looks correct:

$ echo $PATH
/home/runner/.cargo-install/cargo-edit/bin:/snap/bin:/home/runner/.local/bin:/opt/pipx_bin:/home/runner/.cargo/bin:/home/runner/.config/composer/vendor/bin:/usr/local/.ghcup/bin:/home/runner/.dotnet/tools:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/usr/local/games:/snap/bin

The contents of /home/runner/.cargo-install/cargo-edit/bin look correct too:

$ ls /home/runner/.cargo-install/cargo-edit/**/*
/home/runner/.cargo-install/cargo-edit/bin/cargo-add
/home/runner/.cargo-install/cargo-edit/bin/cargo-rm
/home/runner/.cargo-install/cargo-edit/bin/cargo-set-version
/home/runner/.cargo-install/cargo-edit/bin/cargo-upgrade

But cargo install --list does not list cargo-edit as being installed:

$ cargo install --list
bindgen-cli v0.70.1:
    bindgen
cargo-audit v0.20.1:
    cargo-audit
cargo-outdated v0.15.0:
    cargo-outdated
cbindgen v0.27.0:
    cbindgen

Here's how it looks after installing cargo-edit the normal way (i.e. without baptiste0928/cargo-install)

$ cargo install --list
[…]
cargo-edit v0.13.0:
    cargo-add
    cargo-rm
    cargo-set-version
    cargo-upgrade
[…]