Sadly in TLS you are coralled into the departure area for the UK (area D, gates 50-55) when flying Lufthansa. So no (contract) lounge access at all if you are not careful to turn left after security checks.
The contract lounge entrance is opposite gates 33-34 in the area C:
LA CROIX DU SUD LOUNGE - Lounge | Toulouse-Blagnac Airport