Defer "quiet probing" till the last Z bump (#20610)

Marlin/src/module/motion.cpp

 /**
  * Home an individual linear axis
  */
-void do_homing_move(const AxisEnum axis, const float distance, const feedRate_t fr_mm_s=0.0) {
+void do_homing_move(const AxisEnum axis, const float distance, const feedRate_t fr_mm_s=0.0, const bool final_approach=true) {
   DEBUG_SECTION(log_move, "do_homing_move", DEBUGGING(LEVELING));
 
   const feedRate_t home_fr_mm_s = fr_mm_s ?: homing_feedrate(axis);
         thermalManager.wait_for_bed_heating();
       #endif
 
-      TERN_(HAS_QUIET_PROBING, probe.set_probing_paused(true));
+      TERN_(HAS_QUIET_PROBING, if (final_approach) probe.set_probing_paused(true));
     }
 
     // Disable stealthChop if used. Enable diag1 pin on driver.
   if (is_home_dir) {
 
     #if HOMING_Z_WITH_PROBE && HAS_QUIET_PROBING
-      if (axis == Z_AXIS) probe.set_probing_paused(false);
+      if (axis == Z_AXIS && final_approach) probe.set_probing_paused(false);
     #endif
 
     endstops.validate_homing_move();
     }
   #endif
 
+  // Determine if a homing bump will be done and the bumps distance
+  // When homing Z with probe respect probe clearance
+  const bool use_probe_bump = TERN0(HOMING_Z_WITH_PROBE, axis == Z_AXIS && home_bump_mm(Z_AXIS));
+  const float bump = axis_home_dir * (
+    use_probe_bump ? _MAX(TERN0(HOMING_Z_WITH_PROBE, Z_CLEARANCE_BETWEEN_PROBES), home_bump_mm(Z_AXIS)) : home_bump_mm(axis)
+  );
+
   //
   // Fast move towards endstop until triggered
   //
   const float move_length = 1.5f * max_length(TERN(DELTA, Z_AXIS, axis)) * axis_home_dir;
   if (DEBUGGING(LEVELING)) DEBUG_ECHOLNPAIR("Home Fast: ", move_length, "mm");
-  do_homing_move(axis, move_length);
+  do_homing_move(axis, move_length, 0.0, !use_probe_bump);
 
   #if BOTH(HOMING_Z_WITH_PROBE, BLTOUCH_SLOW_MODE)
     if (axis == Z_AXIS) bltouch.stow(); // Intermediate STOW (in LOW SPEED MODE)
   #endif
 
-  // When homing Z with probe respect probe clearance
-  const bool use_probe_bump = TERN0(HOMING_Z_WITH_PROBE, axis == Z_AXIS && home_bump_mm(Z_AXIS));
-  const float bump = axis_home_dir * (
-    use_probe_bump ? _MAX(TERN0(HOMING_Z_WITH_PROBE, Z_CLEARANCE_BETWEEN_PROBES), home_bump_mm(Z_AXIS)) : home_bump_mm(axis)
-  );
-
   // If a second homing move is configured...
   if (bump) {
     // Move away from the endstop by the axis HOMING_BUMP_MM
     if (DEBUGGING(LEVELING)) DEBUG_ECHOLNPAIR("Move Away: ", -bump, "mm");
-    do_homing_move(axis, -bump
+    do_homing_move(axis, -bump, TERN0(HOMING_Z_WITH_PROBE, axis == Z_AXIS) ? MMM_TO_MMS(Z_PROBE_SPEED_FAST) : 0, false);
-      #if HOMING_Z_WITH_PROBE
-        , MMM_TO_MMS(axis == Z_AXIS ? Z_PROBE_SPEED_FAST : 0)
-      #endif
-    );
 
     #if ENABLED(DETECT_BROKEN_ENDSTOP)
       // Check for a broken endstop
     // Slow move towards endstop until triggered
     const float rebump = bump * 2;
     if (DEBUGGING(LEVELING)) DEBUG_ECHOLNPAIR("Re-bump: ", rebump, "mm");
-    do_homing_move(axis, rebump, get_homing_bump_feedrate(axis));
+    do_homing_move(axis, rebump, get_homing_bump_feedrate(axis), true);
 
     #if BOTH(HOMING_Z_WITH_PROBE, BLTOUCH)
       if (axis == Z_AXIS) bltouch.stow(); // The final STOW

Marlin/src/module/planner.h

     private:
 
       // Allow do_homing_move to access internal functions, such as buffer_segment.
-      friend void do_homing_move(const AxisEnum, const float, const feedRate_t);
+      friend void do_homing_move(const AxisEnum, const float, const feedRate_t, const bool);
   #endif
 
     /**