chore(rs): update dependencies (#1494)

### Chores
- Update cargo dependencies
- Remove unused cargo dependencies
- Fix clippy warnings
- Update Dockerfile (package.json requires node 22)
- Let Dependabot update bun, cargo, devcontainers, docker,
github-actions, npm (nix still not supported)

### TODO
- Upgrade dependencies with breaking changes

```shell
$ cargo update --verbose
   Unchanged crossterm v0.28.1 (available: v0.29.0)
   Unchanged schemars v0.8.22 (available: v1.0.4)
```

codex-rs/core/src/client_common.rs

@@ -37,7 +37,7 @@ pub struct Prompt {
 }
 
 impl Prompt {
-    pub(crate) fn get_full_instructions(&self, model: &str) -> Cow<str> {
+    pub(crate) fn get_full_instructions(&self, model: &str) -> Cow<'_, str> {
         let mut sections: Vec<&str> = vec![BASE_INSTRUCTIONS];
         if let Some(ref user) = self.user_instructions {
             sections.push(user);