The lounge in TA is run by Dan Hotels. The BA flight goes from Pier C. However, if you are getting the afternoon flight back the lounge gets crowded as several flights leave at the same time. Its often better to use the lounge in Pier B. Personally, I think the lounge is dreadful, but it is better than the last one in TA.
The 163 going out isnt a lot of fun either - its a rude awakening when the flight crew talk to you at around 2.45am UK time!! However, I always find on this route the crews are excellent.
Enjoy TA - despite its dodgy press its a nice city with some great restaurants. And at least the weather should be good!!