feat: Introduce TimingManager for Accurate Frame Timing

- Added TimingManager class to provide precise timing for animations and frame pacing, addressing issues with ImGui::GetIO().DeltaTime.
- Updated event handling in the window management to use SDL_PollEvent for improved responsiveness.
- Integrated TimingManager into EditorManager, BackgroundRenderer, and WelcomeScreen for consistent delta time usage across the application.
- Enhanced animation updates to utilize accurate frame timing, improving visual performance and user experience.

src/app/editor/ui/background_renderer.cc

@@ -3,6 +3,7 @@
 #include <algorithm>
 #include <cmath>
 
+#include "app/core/timing.h"
 #include "app/gui/theme_manager.h"
 #include "imgui/imgui.h"
 
@@ -23,7 +24,7 @@ void BackgroundRenderer::RenderDockingBackground(ImDrawList* draw_list, const Im
                                                const ImVec2& window_size, const Color& theme_color) {
   if (!draw_list) return;
   
-  UpdateAnimation(ImGui::GetIO().DeltaTime);
+  UpdateAnimation(core::TimingManager::Get().GetDeltaTime());
   
   // Get current theme colors
   auto& theme_manager = ThemeManager::Get();

src/app/editor/ui/welcome_screen.cc

@@ -10,6 +10,7 @@
 #include "absl/time/clock.h"
 #include "absl/time/time.h"
 #include "app/core/project.h"
+#include "app/core/timing.h"
 #include "app/gui/icons.h"
 #include "app/gui/theme_manager.h"
 #include "imgui/imgui.h"
@@ -244,7 +245,8 @@ bool WelcomeScreen::Show(bool* p_open) {
       }
       
       // Smooth interpolation to target position (faster response)
-      float lerp_speed = 8.0f * ImGui::GetIO().DeltaTime;
+      // Use TimingManager for accurate delta time
+      float lerp_speed = 8.0f * yaze::core::TimingManager::Get().GetDeltaTime();
       triforce_positions_[i].x += (target_pos.x - triforce_positions_[i].x) * lerp_speed;
       triforce_positions_[i].y += (target_pos.y - triforce_positions_[i].y) * lerp_speed;