Welcome to the wonderful A2 A/C equipped V-Belt Setup :x
Besides the adjusting bolt that you mentioned (which does need to be loosened), there should be two 8mm allen head bolts (one on either side of Compressor--one on belt side and the other on the line coupling side) they are equally a pain to get to but need to be loosened to free up the A/C unit. Also there are, I believe, two (or maybe three) 13mm nuts which are a bit easier to reach and access (again they are on either side of Compressor)--they should be easy enough to spot. Once all these nuts are loose, only then will you be able to adjust the tension on the belt by changing tightness on adjusting bolt you mentioned.
First time I am writing the procedure, so might have something wrong or unclear . In addition, take a good look at your setup and search the archives. If you have any questions, post them here.
For the amount of times I have done this job (in environments ranging from my climate controlled garage with jacks to the busy NYC streets during rush hour --also between shifts at work), its a bit harder to explain than I figured.
FWIW, Some people find removing the water pump pulley an easier way to get Crank/WP/AC belt off the car then detensioning the AC Comp. So once you get it nice and tight (but not too tight-refer to Bentleys for specifics) and the Alt Belt Snaps, the WP Pulley might be your favorite friend. :wink:
Keep in mind also that some of the above mentioned bolts might have been previously removed by either vibration, shear force, or mechanic choice (why put something back on that was such a pain in the arse to take off). So don't go crazy looking for these fasteners. I have 2 A2 jettas and one is complete and one is only being secure with 2 bolts... which reminds me I need to address this sooner than later.
Hope this helps and have fun...remember keep breathing