spoke failures are basically never 'caused' by a final (minor) event; all this does is administer the coup de grace to a spoke that is already cracked most of the way through. The crack is invariably a fatigue crack, and this will have been merrily propagating for (at least) several hundred miles previously. Exceptions to this are catastrophic events like stuffing a pedal into the spokes.
Letting the tyres down increases the spoke tension in all the spokes by up to about 10% or so (depending on the rim design and the tyre loading on it) and this is quite enough to cause a spoke that was on the verge of failure to go 'ping'. If it didn't happen then, it would have happened pretty soon after anyway.
If you look at a fatigue fracture it will usually show a large flat area and a final part (at one edge) that is not flat. This second part is the final part to break, and it will have broken when there was simply insufficient cross-sectional area in the remaining part of the spoke to sustain the load. Probably it will be between 1/3 and 1/4 of the fracture area, something like that.
this looks a bit like a spoke, but is actually a failed bolt that is ~ x15 the size; the final overload fracture is to the rightIt is possible that the one spoke that broke was different in some way from the others, e.g. defective or saw an abnormal load of some kind a few hundred miles ago (eg a thump near the nipple from a lock in the spokes) but the most likely thing is that the wheel wasn't stress-relieved properly when it was built and/or the spoke ends were not 'set' before stress relief to allow for any kinks in the spokes near the nipples. If so, you should get those things done to the wheel asap.
You may well break one or two further spokes yet, even if you stress relieve the wheel; these will already be cracked, and there is basically nothing to you can do about it.
Wheels that are not stress-relieved properly can be evenly tensioned, perfectly straight, and....
.... complete rubbish. Breaking spokes after the first ~1000 miles is exactly the sort of thing that happens.
cheers