Phase 2: Rust Workspace Transformation (Part 1)

- Renamed directory: codex-backend-openapi-models -> llmx-backend-openapi-models
- Updated all Cargo.toml files:
  - Package names: codex-* -> llmx-*
  - Library names: codex_* -> llmx_*
  - Workspace dependencies updated
- Renamed Rust source files:
  - codex*.rs -> llmx*.rs (all modules)
  - codex_conversation -> llmx_conversation
  - codex_delegate -> llmx_delegate
  - codex_message_processor -> llmx_message_processor
  - codex_tool_* -> llmx_tool_*
- Updated all Rust imports:
  - use codex_* -> use llmx_*
  - mod codex* -> mod llmx*
- Updated environment variables in code:
  - CODEX_HOME -> LLMX_HOME
  - .codex -> .llmx paths
- Updated protocol crate lib name for proper linking

Note: Some compilation errors remain (type inference issues) but all
renaming is complete. Will fix compilation in next phase.

🤖 Generated with Claude Code

llmx-rs/core/tests/suite/items.rs

@@ -1,12 +1,12 @@
 #![cfg(not(target_os = "windows"))]
 
 use anyhow::Ok;
-use codex_core::protocol::EventMsg;
-use codex_core::protocol::ItemCompletedEvent;
-use codex_core::protocol::ItemStartedEvent;
-use codex_core::protocol::Op;
-use codex_protocol::items::TurnItem;
-use codex_protocol::user_input::UserInput;
+use llmx_core::protocol::EventMsg;
+use llmx_core::protocol::ItemCompletedEvent;
+use llmx_core::protocol::ItemStartedEvent;
+use llmx_core::protocol::Op;
+use llmx_protocol::items::TurnItem;
+use llmx_protocol::user_input::UserInput;
 use core_test_support::responses::ev_assistant_message;
 use core_test_support::responses::ev_completed;
 use core_test_support::responses::ev_message_item_added;
@@ -121,7 +121,7 @@ async fn assistant_message_item_is_emitted() -> anyhow::Result<()> {
     .await;
 
     assert_eq!(started.id, completed.id);
-    let Some(codex_protocol::items::AgentMessageContent::Text { text }) = completed.content.first()
+    let Some(llmx_protocol::items::AgentMessageContent::Text { text }) = completed.content.first()
     else {
         panic!("expected agent message text content");
     };