🐛 Fix Manual Move cold extrude override (#24045)

Followup to #19606

Co-authored-by: Scott Lahteine <thinkyhead@users.noreply.github.com>

Marlin/src/lcd/menu/menu.cpp

 #include "../../module/planner.h"
 #include "../../module/motion.h"
 #include "../../module/printcounter.h"
+#include "../../module/temperature.h"
 #include "../../gcode/queue.h"
 
 #if HAS_BUZZER
  */
 void MarlinUI::goto_screen(screenFunc_t screen, const uint16_t encoder/*=0*/, const uint8_t top/*=0*/, const uint8_t items/*=0*/) {
   if (currentScreen != screen) {
+    thermalManager.set_menu_cold_override(false);
 
     TERN_(IS_DWIN_MARLINUI, did_first_redraw = false);
 

Marlin/src/lcd/menu/menu_motion.cpp

         ui.goto_screen([]{
           MenuItem_confirm::select_screen(
             GET_TEXT(MSG_BUTTON_PROCEED), GET_TEXT(MSG_BACK),
-            _goto_menu_move_distance_e, nullptr,
+            [] { _goto_menu_move_distance_e(); thermalManager.set_menu_cold_override(true); }, nullptr,
             GET_TEXT(MSG_HOTEND_TOO_COLD), (const char *)nullptr, PSTR("!")
           );
         });

Marlin/src/module/temperature.cpp

   #endif
 #endif
 
+#if BOTH(HAS_MARLINUI_MENU, PREVENT_COLD_EXTRUSION) && E_MANUAL > 0
+  bool Temperature::allow_cold_extrude_override = false;
+#else
+  constexpr bool Temperature::allow_cold_extrude_override;
+#endif
+
 #if ENABLED(PREVENT_COLD_EXTRUSION)
   bool Temperature::allow_cold_extrude = false;
   celsius_t Temperature::extrude_min_temp = EXTRUDE_MINTEMP;

Marlin/src/module/temperature.h

       static uint8_t soft_pwm_controller_speed;
     #endif
 
+    #if BOTH(HAS_MARLINUI_MENU, PREVENT_COLD_EXTRUSION) && E_MANUAL > 0
+      static bool allow_cold_extrude_override;
+      static void set_menu_cold_override(const bool allow) { allow_cold_extrude_override = allow; }
+    #else
+      static constexpr bool allow_cold_extrude_override = false;
+      static void set_menu_cold_override(const bool) {}
+    #endif
+
     #if ENABLED(PREVENT_COLD_EXTRUSION)
       static bool allow_cold_extrude;
       static celsius_t extrude_min_temp;
-      static bool tooCold(const celsius_t temp) { return allow_cold_extrude ? false : temp < extrude_min_temp - (TEMP_WINDOW); }
+      static bool tooCold(const celsius_t temp) { return !allow_cold_extrude && !allow_cold_extrude_override && temp < extrude_min_temp - (TEMP_WINDOW); }
       static bool tooColdToExtrude(const uint8_t E_NAME)       { return tooCold(wholeDegHotend(HOTEND_INDEX)); }
       static bool targetTooColdToExtrude(const uint8_t E_NAME) { return tooCold(degTargetHotend(HOTEND_INDEX)); }
     #else