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/src/rollout/recorder.rs

@@ -6,7 +6,7 @@ use std::io::Error as IoError;
 use std::path::Path;
 use std::path::PathBuf;
 
-use codex_protocol::ConversationId;
+use llmx_protocol::ConversationId;
 use serde_json::Value;
 use time::OffsetDateTime;
 use time::format_description::FormatItem;
@@ -26,13 +26,13 @@ use super::policy::is_persisted_response_item;
 use crate::config::Config;
 use crate::default_client::originator;
 use crate::git_info::collect_git_info;
-use codex_protocol::protocol::InitialHistory;
-use codex_protocol::protocol::ResumedHistory;
-use codex_protocol::protocol::RolloutItem;
-use codex_protocol::protocol::RolloutLine;
-use codex_protocol::protocol::SessionMeta;
-use codex_protocol::protocol::SessionMetaLine;
-use codex_protocol::protocol::SessionSource;
+use llmx_protocol::protocol::InitialHistory;
+use llmx_protocol::protocol::ResumedHistory;
+use llmx_protocol::protocol::RolloutItem;
+use llmx_protocol::protocol::RolloutLine;
+use llmx_protocol::protocol::SessionMeta;
+use llmx_protocol::protocol::SessionMetaLine;
+use llmx_protocol::protocol::SessionSource;
 
 /// Records all [`ResponseItem`]s for a session and flushes them to disk after
 /// every update.