I think you're very restrained - 12 fun size wouldn't last me 2 hours, never mind 2 days...
I stopped buying them, all of them. Then I stopped buying sweets (chewy, shaped, sugar, in pretty colours. I could eat 3 large share bags a day). If they're not there, I wouldn't justify a car journey to the shop for more and I was too idle to walk.
Your 'Day 1' sounds tough, but I wish you luck.
I have no idea of your age (for me, it's relevant), but I started intermittent fasting about 3 months ago (fast 18 hours, eat within a 6 hour window), then two months later started excluding added sugar too. I am 51, peri meno, and down a stone. I haven't found it hard to stick to and I make 'treats' using dates for sweetness. I have tried not buying the stuff that makes me fat, I have tried every weight loss journey in the (very many) book(s) and I have had success losing it, but not finding a new way forward that feels easy to stick at previously.
I don't think you're greedy at all. I think you like the taste of the stuff 'they' make purposely for us to overeat. It's manufactured to trick your brain and your hormones and as a person with a brain and hormones, you got tricked. I hope I'm not coming across as sanctimonious, I have a long way to go still and remain in the obese category (just).
Also, please talk to yourself the way you would talk to your dearest friend. You would never tell her she was 'greedy', so don't say it to yourself.