fix: apply clang-format and exclude third-party libraries from formatting checks

- Applied clang-format to fix formatting violations in TUI and other source files
- Updated CMakeLists.txt to exclude src/lib/* from format targets to prevent third-party library violations
- Fixes clang-format violations in chat_tui.cc, tui.cc, and unified_layout.cc
- All source files now pass format-check target

🤖 Generated with Claude Code

Co-Authored-By: Claude <noreply@anthropic.com>

test/integration/editor/tile16_editor_test.cc

@@ -1,10 +1,11 @@
 #include "app/editor/overworld/tile16_editor.h"
 
+#include <gtest/gtest.h>
+
 #include <iostream>
 #include <memory>
 #include <vector>
 
-#include <gtest/gtest.h>
 #include "app/gfx/backend/sdl2_renderer.h"
 #include "app/gfx/core/bitmap.h"
 #include "app/gfx/render/tilemap.h"