### 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)

Ref<InputEventMouseButton> bev = p_event;
	PickerShapeType actual_shape = _get_actual_shape();
	if (bev.is_valid()) {
		if (bev->is_pressed() && bev->get_button_index() == MouseButton::LEFT) {
			changing_color = true;
			float y = CLAMP((float)bev->get_position().y, 0, w_edit->get_size().height);
			if (actual_shape == SHAPE_VHS_CIRCLE || actual_shape == SHAPE_OKHSL_CIRCLE) {
				v = 1.0 - (y / w_edit->get_size().height);
			} else {
				h = y / w_edit->get_size().height;
			}
		} else {
			changing_color = false;
		}
		_copy_hsv_to_color();
		last_color = color;
		set_pick_color(color);
		if (!bev->is_pressed() && bev->get_button_index() == MouseButton::LEFT) {
			add_recent_preset(color);
			emit_signal(SNAME("color_changed"), color);
		} else if (!deferred_mode_enabled) {
			emit_signal(SNAME("color_changed"), color);
		}
	}
	Ref<InputEventMouseMotion> mev = p_event;
	if (mev.is_valid()) {
		if (!changing_color) {
			return;
		}
		float y = CLAMP((float)mev->get_position().y, 0, w_edit->get_size().height);