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/tui/tests/suite/vt100_live_commit.rs

@@ -7,7 +7,7 @@ use ratatui::text::Line;
 #[test]
 fn live_001_commit_on_overflow() {
     let backend = VT100Backend::new(20, 6);
-    let mut term = match codex_tui::custom_terminal::Terminal::with_options(backend) {
+    let mut term = match llmx_tui::custom_terminal::Terminal::with_options(backend) {
         Ok(t) => t,
         Err(e) => panic!("failed to construct terminal: {e}"),
     };
@@ -15,7 +15,7 @@ fn live_001_commit_on_overflow() {
     term.set_viewport_area(area);
 
     // Build 5 explicit rows at width 20.
-    let mut rb = codex_tui::live_wrap::RowBuilder::new(20);
+    let mut rb = llmx_tui::live_wrap::RowBuilder::new(20);
     rb.push_fragment("one\n");
     rb.push_fragment("two\n");
     rb.push_fragment("three\n");
@@ -26,7 +26,7 @@ fn live_001_commit_on_overflow() {
     let commit_rows = rb.drain_commit_ready(3);
     let lines: Vec<Line<'static>> = commit_rows.into_iter().map(|r| r.text.into()).collect();
 
-    codex_tui::insert_history::insert_history_lines(&mut term, lines)
+    llmx_tui::insert_history::insert_history_lines(&mut term, lines)
         .expect("Failed to insert history lines in test");
 
     let screen = term.backend().vt100().screen();