Welcome to the BA forum here on Flyertalk Thighsofsteel, it's good to see you here, and though I don't envy your departure time, I hope you have a good flight.
You get access to the Concorde Bar (CCB) within the BA Lounge, which I happen to think is a nice quiet lounge, but others complain it's rather small. With your card I think you can use the third party lounges of Ahlan and Maharba, perhaps the Skyteam lounge too, and they are all in the D concourse area. But I personally wouldn't describe any of them as an improvement on CCB (though I haven't been inside Ahlan). However hopefully the DXB regulars can give their views on this. There is more information on the BA lounges in the Middle East Lounges section, in the Dashboard.