### 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)

_set_pick_color(p_color, true); 
}
void ColorPicker::set_old_color(const Color &p_color) {
	old_color = p_color;
}
void ColorPicker::set_display_old_color(bool p_enabled) {
	display_old_color = p_enabled;
}
bool ColorPicker::is_displaying_old_color() const {
	return display_old_color;
}
void ColorPicker::set_edit_alpha(bool p_show) {
	if (edit_alpha == p_show) {
		return;
	}
	edit_alpha = p_show;
	_update_controls();
	if (!is_inside_tree()) {
		return;
	}
	_update_color();
	sample->queue_redraw();
}
bool ColorPicker::is_editing_alpha() const {
	return edit_alpha;
}
void ColorPicker::_slider_drag_started() {
	currently_dragging = true;
}
void ColorPicker::_slider_value_changed() {