### Godot version

v4.3.dev.custom_build [d76c1d0e5]

### System information

Linux

### Issue description

When opening the color picker by clicking on a color property the color changes slightly.

### Steps to reproduce

* Click on a property with value `Color(.5, .5, .5) ` in the inspector
* Click away
* Open the color picker again
* See the color change to Color(0.502, 0.502, 0.502) in the "RAW" tab

### Minimal reproduction project

[ColorChangeBug.zip](https://github.com/godotengine/godot/files/13545089/ColorChangeBug.zip)

return color;
}
void ColorPicker::set_picker_shape(PickerShapeType p_shape) {
	ERR_FAIL_INDEX(p_shape, SHAPE_MAX);
	if (p_shape == current_shape) {
		return;
	}
	if (current_shape != SHAPE_NONE) {
		shape_popup->set_item_checked(current_shape, false);
	}
	if (p_shape != SHAPE_NONE) {
		shape_popup->set_item_checked(p_shape, true);
		btn_shape->set_icon(shape_popup->get_item_icon(p_shape));
	}
	current_shape = p_shape;
#ifdef TOOLS_ENABLED
	if (editor_settings) {
		editor_settings->call(SNAME("set_project_metadata"), "color_picker", "picker_shape", current_shape);
	}
#endif
	_copy_color_to_hsv();
	_update_controls();
	_update_color();
}
ColorPicker::PickerShapeType ColorPicker::get_picker_shape() const {
	return current_shape;
}
inline int ColorPicker::_get_preset_size() {