It notes the flights into brussels from sdq go via PUJ, is this so, I can not imagine a large plane stopping off in PUJ before the trip to BRU. I would hate a mix up due to this kind of confusion.
Yes flights form SDQ go to BRU via PUJ, return is direct BRU-SDQ (continuing on to PUJ).
There are some cheap tickets at 149 Euro OW to BRU and back, in June.
Cheap as it gets (cheaper to fly to BRU than to MIA on AA/B6).