Fix minor typos in comments and documentation (#10287)

## Summary

I have read the contribution guidelines.  
All changes in this PR are limited to text corrections and do not modify
any business logic, runtime behavior, or user-facing functionality.

## Details

This PR fixes several minor typos, including:

- `create` -> `crate`
- `analagous` -> `analogous`
- `apply-patch` -> `apply_patch`
- `codecs` -> `codex`
- ` '/" ` -> ` '/' `
- `Respesent` -> `Represent`

codex-rs/apply-patch/src/standalone_executable.rs

@@ -27,7 +27,7 @@ pub fn run_main() -> i32 {
             match std::io::stdin().read_to_string(&mut buf) {
                 Ok(_) => {
                     if buf.is_empty() {
-                        eprintln!("Usage: apply_patch 'PATCH'\n       echo 'PATCH' | apply-patch");
+                        eprintln!("Usage: apply_patch 'PATCH'\n       echo 'PATCH' | apply_patch");
                         return 2;
                     }
                     buf

codex-rs/cloud-requirements/src/lib.rs

@@ -20,7 +20,7 @@ use std::time::Duration;
 use std::time::Instant;
 use tokio::time::timeout;
 
-/// This blocks codecs startup, so must be short.
+/// This blocks codex startup, so must be short.
 const CLOUD_REQUIREMENTS_TIMEOUT: Duration = Duration::from_secs(5);
 
 #[async_trait]

codex-rs/tui/src/bottom_pane/command_popup.rs

@@ -80,7 +80,7 @@ impl CommandPopup {
 
     /// Update the filter string based on the current composer text. The text
     /// passed in is expected to start with a leading '/'. Everything after the
-    /// *first* '/" on the *first* line becomes the active filter that is used
+    /// *first* '/' on the *first* line becomes the active filter that is used
     /// to narrow down the list of available commands.
     pub(crate) fn on_composer_text_change(&mut self, text: String) {
         let first_line = text.lines().next().unwrap_or("");