1. Turn the three screws out, open the device and board take out (is quite easy, do not worry)
2. Place a piece of black shrink tube over the LED
3. Glue a small strip of black tape in the inner shell via the LED
Prior to the middle of the tape prick a hole diameter of about 1 mm, melt or drill.
4. build housing back together
... And finished the pilot light, as it should be :)
The change is of course at your own risk!
The professional will probably solder another LED that I had not in stock here.
One can only hope that the successor will be made somewhat more useful in this regard.