### 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)

btn_shape->show();
			wheel->set_material(circle_mat);
			circle_mat->set_shader(circle_ok_color_shader);
			break;
		case SHAPE_NONE:
			wheel_edit->hide();
			w_edit->hide();
			uv_edit->hide();
			btn_shape->hide();
			break;
		default: {
		}
	}
}
void ColorPicker::_set_pick_color(const Color &p_color, bool p_update_sliders) {
	if (text_changed) {
		add_recent_preset(color);
		text_changed = false;
	}
	color = p_color;
	if (color != last_color) {
		_copy_color_to_hsv();
		last_color = color;
	}
	if (!is_inside_tree()) {
		return;
	}
	_update_color(p_update_sliders);
}
void ColorPicker::set_pick_color(const Color &p_color) {