### Tested versions

v4.2.stable.official [46dc27791]

### System information

Windows 11- Godot v4.2.stable.official [46dc27791] - Vulkan (Forward+)

### Issue description

When I switch picker mode the next time I open it should be the pick mode I selected last time but it's not

https://github.com/godotengine/godot/assets/46812028/522c8b55-14cf-4781-963f-a465a03c9432



### Steps to reproduce

Toggle a picker mode off and on again

### Minimal reproduction project (MRP)

N/A
List<String> property_names;
						for (const PropertyInfo &E2 : pinfo) {
							if (E2.usage & PROPERTY_USAGE_STORAGE) {
								property_names.push_back(E2.name);
							}
						}
						
						for (const KeyValue<StringName, Variant> &E2 : E.value.property_table) {
							if (property_names.find(E2.key)) {
								modifiable_node->set(E2.key, E2.value);
							}
						}
						
						for (const ConnectionWithNodePath &E2 : E.value.connections_to) {
							Connection conn = E2.connection;
							
							Node *target_node = cast_to<Node>(conn.callable.get_object());
							
							
							
							if (!target_node || !target_node->is_queued_for_deletion()) {
								target_node = modifiable_node->get_node_or_null(E2.node_path);
							}
							if (target_node) {
								
								Callable new_callable = Callable(target_node, conn.callable.get_method());
								if (!modifiable_node->is_connected(conn.signal.get_name(), new_callable)) {
									ERR_FAIL_COND(modifiable_node->connect(conn.signal.get_name(), new_callable, conn.flags) != OK);
								}
							}