feat: use ProcessId in exec-server (#15866)

Use a full struct for the ProcessId to increase readability and make it
easier in the future to make it evolve if needed

codex-rs/exec-server/src/process.rs

@@ -1,58 +1,18 @@
-use std::fmt;
-use std::ops::Deref;
 use std::sync::Arc;
 
 use async_trait::async_trait;
 use tokio::sync::watch;
 
 use crate::ExecServerError;
+use crate::ProcessId;
 use crate::protocol::ExecParams;
 use crate::protocol::ReadResponse;
 use crate::protocol::WriteResponse;
 
-#[derive(Debug, Clone, PartialEq, Eq, Hash)]
-pub struct ProcessId(String);
-
 pub struct StartedExecProcess {
     pub process: Arc<dyn ExecProcess>,
 }
 
-impl ProcessId {
-    pub fn as_str(&self) -> &str {
-        &self.0
-    }
-
-    pub fn into_inner(self) -> String {
-        self.0
-    }
-}
-
-impl Deref for ProcessId {
-    type Target = str;
-
-    fn deref(&self) -> &Self::Target {
-        self.as_str()
-    }
-}
-
-impl AsRef<str> for ProcessId {
-    fn as_ref(&self) -> &str {
-        self.as_str()
-    }
-}
-
-impl fmt::Display for ProcessId {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        self.0.fmt(f)
-    }
-}
-
-impl From<String> for ProcessId {
-    fn from(value: String) -> Self {
-        Self(value)
-    }
-}
-
 #[async_trait]
 pub trait ExecProcess: Send + Sync {
     fn process_id(&self) -> &ProcessId;