Group status methods, share reset_status with Extensible UI (#12414)

* Group status methods, share reset_status with Extensible UI
* Move common DOGM code to headers

Marlin/src/lcd/HD44780/lcdprint_hd44780.cpp

@@ -19,7 +19,7 @@
 #include "../ultralcd.h"
 #include "../../Marlin.h"
 
-#include "ultralcd_common_HD44780.h"
+#include "ultralcd_HD44780.h"
 
 #include <string.h>
 

Marlin/src/lcd/HD44780/ultralcd_HD44780.cpp

@@ -31,7 +31,7 @@
  * These are the most common LCD character displays.
  */
 
-#include "ultralcd_common_HD44780.h"
+#include "ultralcd_HD44780.h"
 #include "../ultralcd.h"
 
 #include "../../sd/cardreader.h"