### 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
if (!spinning) {
					real_t x = CLAMP(bev->get_position().x - corner_x, 0, real_size.x);
					real_t y = CLAMP(bev->get_position().y - corner_y, 0, real_size.y);
					s = x / real_size.x;
					v = 1.0 - y / real_size.y;
				}
			}
			changing_color = true;
			_copy_hsv_to_color();
			last_color = color;
			set_pick_color(color);
			if (!deferred_mode_enabled) {
				emit_signal(SNAME("color_changed"), color);
			}
		} else if (!bev->is_pressed() && bev->get_button_index() == MouseButton::LEFT) {
			if (deferred_mode_enabled) {
				emit_signal(SNAME("color_changed"), color);
			}
			add_recent_preset(color);
			changing_color = false;
			spinning = false;
		} else {
			changing_color = false;
			spinning = false;
		}
	}
	Ref<InputEventMouseMotion> mev = p_event;
	if (mev.is_valid()) {
		if (!changing_color) {
			return;