Later playwright versions were not available to NixOS originally, so the version
was locked to `1.47`.
This change removes the external dependency in favour of the playwright that is
available in Nix packages.
This fixes the e2e testing in the Nix flake. It also requires locking the SHA of
`radicle` since it is a Git dependency in the `Cargo.toml`.
Running the update also automatically applied a change to change `reply_to` to
`replyTo` in `Action.ts`.