First of all, here's where you'd go to find buoyancy characteristics of the Faber tanks.
Cylinder Specifications
The Faber FX117 series has a negative buoyancy (that means it will sink) of -9.12lbs when it is filled with air or gas, and a positive buoyancy of 0.16lbs when it's empty (that means it would float if it were empty and needs a hair of weight to sink it). HOWEVER, the data sheet does not include the tank valve, and tank valves are ususally around 2lbs (some are slightly more and some are slightly less, but close enough). That means your tank with valve in place and full with air/gas has the equivalence of wearing 11lbs of lead, and when it's empty has the equivalence of wearing 2lbs of lead.
You want to weight yourself so that by the time your tank runs low (around 500psi or so), you can do a safety stop with no air in your BC and simply stay in place by breathing in and out.
Since that all your gears are new, you don't really know what your dive weight is going to be. So, instead of trying to do the calculations with these formulas, just dive with 10% of your weight, then add or subtract as needed. 10% of body weight while wearing a 7mm wetsuit is pretty close guesswork. I weight 200% and my dive weight (tank (Faber M-series super heavy, steel plate backplate wing, single tank adaptor all added together) is 18lbs, which is a hair less than 10% of my body weight but that's because my wetsuit is well worn in. When new, 7mm wetsuits are super buouyant but they do lose their lifts with use.
My regular diving buddy has the same setup and he runs an actual 10% of his body weight because his wetsuit is newer than mine.
I'd suggest start out at 10% of your body weight plus 4-lbs. If you sink like a rock when you deflate your BC, then the next dive take out 4lbs. If you sink but not fast, then maybe take out 2lbs. Naturally if you don't sink then add 2lbs and see.
The point of the exercise is that with a full tank and an empty BC at the surface, you barely sink under the water when you fully exhale your lungs.
I don't know if you're diving off a boat or what, but if you were then let the deck hands/dive master know that you need to do a weight check and ask them to hand you weights as need. This is how I help other divers do weight checks. Have them attempt to descend and I'll observe. If necessary, I'd ask the deck hands to give me weights to add to the diver that's doing weight check.