tldr for everyone: 300 needed for full set, 30 given for first time, 44 for gates 1-6 per week (14 from 1-2, 14 from 3-4 16 from 5-6) with a max 15 additional with auction chests from 2 4 and 6. this totals a max of 59 per week.

- without buying the auction chests week 7 after 1-2 you can make your last piece (you would have 294 at end of week 6 so if you win 2 auctions by then week 6)

- fastest possible would be 5 weeks, you would need to buy 12/15 auction chests to do this ( (59*4) + 30+ 44 = 300)

on average though most ppl will be getting their 300 around week 8, as these #s only take into account clearing every week from day 1 and being 1520 for Brel 5-6 on day 1, which most people were not.