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/cli_stream.rs

@@ -1,7 +1,7 @@
 use assert_cmd::Command as AssertCommand;
 use assert_cmd::cargo::cargo_bin;
-use codex_core::RolloutRecorder;
-use codex_core::protocol::GitInfo;
+use llmx_core::RolloutRecorder;
+use llmx_core::protocol::GitInfo;
 use core_test_support::fs_wait;
 use core_test_support::skip_if_no_network;
 use std::time::Duration;
@@ -471,7 +471,7 @@ async fn integration_git_info_unit_test() {
         .unwrap();
 
     // 3. Test git info collection directly
-    let git_info = codex_core::git_info::collect_git_info(&git_repo).await;
+    let git_info = llmx_core::git_info::collect_git_info(&git_repo).await;
 
     // 4. Verify git info is present and contains expected data
     assert!(git_info.is_some(), "Git info should be collected");