Reorganize some conditionals

Marlin/src/inc/Conditionals_LCD.h

 #define HAS_Z_SERVO_PROBE (defined(Z_PROBE_SERVO_NR) && Z_PROBE_SERVO_NR >= 0)
 
 /**
- * Set a flag for any enabled probe
+ * Set flags for enabled probes
  */
-#define PROBE_SELECTED (ENABLED(PROBE_MANUALLY) || ENABLED(FIX_MOUNTED_PROBE) || ENABLED(Z_PROBE_ALLEN_KEY) || HAS_Z_SERVO_PROBE || ENABLED(Z_PROBE_SLED) || ENABLED(SOLENOID_PROBE))
+#define HAS_BED_PROBE (ENABLED(FIX_MOUNTED_PROBE) || ENABLED(Z_PROBE_ALLEN_KEY) || HAS_Z_SERVO_PROBE || ENABLED(Z_PROBE_SLED) || ENABLED(SOLENOID_PROBE))
+#define PROBE_SELECTED (HAS_BED_PROBE || ENABLED(PROBE_MANUALLY))
 
-/**
- * Clear probe pin settings when no probe is selected
- */
-#if !PROBE_SELECTED || ENABLED(PROBE_MANUALLY)
+#if !HAS_BED_PROBE
+  // Clear probe pin settings when no probe is selected
   #undef Z_MIN_PROBE_USES_Z_MIN_ENDSTOP_PIN
   #undef Z_MIN_PROBE_ENDSTOP
+#elif ENABLED(Z_PROBE_ALLEN_KEY)
+  // Extra test for Allen Key Probe
+  #define PROBE_IS_TRIGGERED_WHEN_STOWED_TEST
 #endif
 
+#define HOMING_Z_WITH_PROBE (HAS_BED_PROBE && Z_HOME_DIR < 0 && ENABLED(Z_MIN_PROBE_USES_Z_MIN_ENDSTOP_PIN))
+
 #define HAS_SOFTWARE_ENDSTOPS (ENABLED(MIN_SOFTWARE_ENDSTOPS) || ENABLED(MAX_SOFTWARE_ENDSTOPS))
 #define HAS_RESUME_CONTINUE (ENABLED(NEWPANEL) || ENABLED(EMERGENCY_PARSER))
 #define HAS_COLOR_LEDS (ENABLED(BLINKM) || ENABLED(RGB_LED) || ENABLED(RGBW_LED) || ENABLED(PCA9632) || ENABLED(NEOPIXEL_LED))

Marlin/src/inc/Conditionals_post.h

 #endif
 
 /**
- * Auto Bed Leveling and Z Probe Repeatability Test
- */
-#define HOMING_Z_WITH_PROBE (HAS_BED_PROBE && Z_HOME_DIR < 0 && ENABLED(Z_MIN_PROBE_USES_Z_MIN_ENDSTOP_PIN))
-
-/**
  * Z Sled Probe requires Z_SAFE_HOMING
  */
 #if ENABLED(Z_PROBE_SLED)
 #define HAS_CONTROLLER_FAN (PIN_EXISTS(CONTROLLER_FAN))
 
 // Servos
-#define HAS_SERVOS (defined(NUM_SERVOS) && NUM_SERVOS > 0)
 #define HAS_SERVO_0 (PIN_EXISTS(SERVO0))
 #define HAS_SERVO_1 (PIN_EXISTS(SERVO1))
 #define HAS_SERVO_2 (PIN_EXISTS(SERVO2))
 #define HAS_SERVO_3 (PIN_EXISTS(SERVO3))
+#define HAS_SERVOS (defined(NUM_SERVOS) && NUM_SERVOS > 0)
+
+#if HAS_SERVOS && !defined(Z_PROBE_SERVO_NR)
+  #define Z_PROBE_SERVO_NR -1
+#endif
 
 // Sensors
 #define HAS_FILAMENT_WIDTH_SENSOR (PIN_EXISTS(FILWIDTH))
 #define HAS_FANMUX PIN_EXISTS(FANMUX0)
 
 /**
- * Servos and probes
- */
-
-#if HAS_SERVOS
-  #ifndef Z_PROBE_SERVO_NR
-    #define Z_PROBE_SERVO_NR -1
-  #endif
-#endif
-
-#define HAS_BED_PROBE (PROBE_SELECTED && DISABLED(PROBE_MANUALLY))
-
-#if ENABLED(Z_PROBE_ALLEN_KEY)
-  #define PROBE_IS_TRIGGERED_WHEN_STOWED_TEST
-#endif
-
-/**
  * Bed Probe dependencies
  */
 #if HAS_BED_PROBE