Add codex apply to apply a patch created from the Codex remote agent (#1528)

In order to to this, I created a new `chatgpt` crate where we can put
any code that interacts directly with ChatGPT as opposed to the OpenAI
API. I added a disclaimer to the README for it that it should primarily
be modified by OpenAI employees.


https://github.com/user-attachments/assets/bb978e33-d2c9-4d8e-af28-c8c25b1988e8

codex-rs/Cargo.lock

@@ -574,6 +574,22 @@ dependencies = [
  "tree-sitter-bash",
 ]
 
+[[package]]
+name = "codex-chatgpt"
+version = "0.0.0"
+dependencies = [
+ "anyhow",
+ "clap",
+ "codex-common",
+ "codex-core",
+ "codex-login",
+ "reqwest",
+ "serde",
+ "serde_json",
+ "tempfile",
+ "tokio",
+]
+
 [[package]]
 name = "codex-cli"
 version = "0.0.0"
@@ -581,6 +597,7 @@ dependencies = [
  "anyhow",
  "clap",
  "clap_complete",
+ "codex-chatgpt",
  "codex-common",
  "codex-core",
  "codex-exec",