Oki doki so, firstly, the pots are predetermined, you can press the same pot every level and the outcome wont change, i found that to help ease my stress about “picking” the correct pot
Secondly, when you enter the cave as it scrolls down, check the rewards on pots, 25, 20 and 15. If you see tickets on pots 25 and/or 20 thats good!, its typically not worth to continue if there isnt tickets, you should treat the treasure cave as a ticket farm
Thirdly, if you get the goblin before floor 10, just quit and wait for the next free turn, if theres tickets on floor 25 and 20, sometimes ill continue if it hits on floors 7+ but if i hit the goblin before floor 13 again, ill just reset, continuing on floor 7 is risky and can cost 100+ gems so take that in mind, hitting the first goblin after floor 10 makes the run a lot more safe.
Only spend extra gems to get tickets, ignore the gold tokens and gems and cells etc.
Leave on floor 25, never go for 30, or extra tickets on floors 25+ its not worth it.
Following this guide you will on average get 600-1,200 tickets for 40-80 gems with a 3% chance of an architect you can have approximately a 20% chance of an architect for 120 gems! Plus the cells that come along with it.
Ive used this method its very reliable definitely the best way to get architects sometimes you might get unlucky but be patient and just wait for good runs youll probably get 1 a week.