### 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 (updating || text_is_constructor || !c_text->is_visible()) {
		return;
	}
	const Color previous_color = color;
	color = Color::from_string(p_html.strip_edges(), previous_color);
	if (!is_editing_alpha()) {
		color.a = previous_color.a;
	}
	if (color == previous_color) {
		return;
	}
	if (!is_inside_tree()) {
		return;
	}
	set_pick_color(color);
	emit_signal(SNAME("color_changed"), color);
}
void ColorPicker::_update_color(bool p_update_sliders) {