### 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)

if (p_idx < SLIDER_COUNT) {
		return sliders[p_idx];
	}
	return alpha_slider;
}
Vector<float> ColorPicker::get_active_slider_values() {
	Vector<float> cur_values;
	for (int i = 0; i < current_slider_count; i++) {
		cur_values.push_back(sliders[i]->get_value());
	}
	cur_values.push_back(alpha_slider->get_value());
	return cur_values;
}
void ColorPicker::_copy_color_to_hsv() {
	if (_get_actual_shape() == SHAPE_OKHSL_CIRCLE) {
		h = color.get_ok_hsl_h();
		s = color.get_ok_hsl_s();
		v = color.get_ok_hsl_l();
	} else {
		h = color.get_h();
		s = color.get_s();
		v = color.get_v();
	}
}
void ColorPicker::_copy_hsv_to_color() {