initial commit

Could be something I fixed already, but maybe the problem will also show up again later.
I noticed that this could use `DEG_id_tag_update_for_side_effect_request` nowadays if required.

@@ -680,6 +691,7 @@ class NODE_MT_geometry_node_add_all(Menu):
         layout.menu("NODE_MT_category_GEO_TEXTURE")
         layout.menu("NODE_MT_category_GEO_UTILITIES")
         layout.separator()
+        layout.menu("NODE_MT_category_GEO_GIZMO")

@@ -14,3 +16,4 @@
 #include "BLI_bounds_types.hh"
 #include "BLI_function_ref.hh"
 #include "BLI_map.hh"
+#include "BLI_math_matrix_types.hh"

@@ -133,6 +136,7 @@ class bNodeTreeRuntime : NonCopyable, NonMovable {
   /** Information about usage of anonymous attributes within the group. */
   std::unique_ptr<anonymous_attribute_inferencing::AnonymousAttributeInferencingResult>
       anonymous_attribute_inferencing;
+  std::unique_ptr<nodes::gizmos::GizmoPropagationResult> gizmo_inferencing;

@@ -199,0 +204,4 @@
+   * This is set in #update_gizmo_propagation and is stored here so that it can be quickly accessed
+   * during socket drawing.
+   */
+  bool has_gizmo = false;

@@ -97,1 +97,3 @@
-  uiItemR(layout, &sockptr, "default_value", DEFAULT_FLAGS, "", ICON_NONE);
+  uiLayout *row = uiLayoutRow(layout, true);
+  uiItemR(row, &sockptr, "default_value", DEFAULT_FLAGS, "", ICON_NONE);
+  if (output->runtime->has_gizmo) {

@@ -0,0 +76,4 @@
+      if (prop_type == PROP_FLOAT) {
+        return RNA_property_float_get_index(&this->owner, this->property, *this->index);
+      }
+      else if (prop_type == PROP_INT) {

@@ -0,0 +137,4 @@
+    RNA_property_update(C, &this->owner, this->property);
+    if (Object *object = CTX_data_active_object(C)) {
+      /* The recalc is necessary so that the gizmo positions are updated even if they don't affect
+       * the final output currently. */

@@ -0,0 +158,4 @@
+      const bNodeSocket &second_input_socket = node.input_socket(1);
+      const float second_value =
+          tree_log.find_primitive_socket_value<float>(second_input_socket).value_or(0.0f);
+      switch (mode) {

@@ -253,1 +253,4 @@
   }
+  if (geometry.get_component<GeometryComponentEditData>()) {
+    auto &component = geometry.get_component_for_write<GeometryComponentEditData>();
+    for (float4x4 &m : component.gizmo_transforms_.values()) {