As a neat and specific irony, to add bottle bac is a wasted purchase here, as we show that deposition is time/submersion related and seeding of bacteria is largely a retail driven thought process.
Bottle bac is ideal for bringing up dry rock systems faster than nature would bring them up if simply left filled, which is how many people cycled tanks in the 80s before the bottle bac boon. In your case, any system of water housing cured live rock will infinitely transfer it's bacteria to new surfaces if merely kept wet, they'd secure all the feed they need merely off your room contamination.
To double dose water with bac doesn't increase depositional timeframe, that's set by species and conditions so the specific action here is about 20 days submerged alongside your live rock makes any other media you've developed -able to pass it's own oxidation testing- were you to separate it back out and test it with 1 ppm elsewhere.
no purchase needed. Anything stuck in the water becomes a biofilter in twenty days. Your thread happens to be prime material for a big science debate going on here regarding aquarium microbiology. I'm going to link it, then people might tell you why you should purchase bottle bac. Linked to the huge bacteria argument thread.
I'm voting a clear, concise, keep money in pocket here based on rock solid biology. Almost nobody agrees, the heavy vote will say that adding bottle bac speeds up depositional time, inferring the undosed system lacked bacteria before the bottle bac purchase was added.