How to Win
The only card that's run as an explicit win condition is Eldrazi Displacer. With either KCI or Ashnod's on the board, blinking out Breya only costs 3 mana, but sacrificing the thopters to either outlet will make 4 mana. Repeat for infinite mana, then repeat without sacrificing for infinite tokens, then use the infinite tokens with Breya's ability to shoot people in the face for 3 damage every 2 tokens spent.
From here, win conditions get a bit more freeform. There are lots of ways to make infinite mana, the main ones being with KCI + Myr Retriever + Scrap Trawler loops or Thopter Foundry + Ashnod's Altar (which acts as discount KCI) + Myr Retriever + Scrap Trawler loops.
I'll pick one of the more slot efficient Foundry + Altar loops to demonstrate. Let's say you have Scrap Trawler, Thopter Foundry, Ashnod's Altar, Myr Retriever, and a tapped Sol Ring in play, and 4+ mana floating or otherwise available. First sacrifice Retriever to Ashnod's Altar, what you return is irrelevant. Sacrifice Sol Ring to Thopter Foundry to make a thopter, then sacrifice the thopter to the altar, leaving you with 7 mana floating. Sac the altar to the foundry, making a thopter and returning the retriever. Play the retriever and sacrifice it to the foundry, returning altar and sol ring to hand. You should have 3 mana floating. You can then play the altar and sacrifice the 2 thopters, going up to 4 floating, then play the sol ring and tap it. You now are back where you started, only now you have 5 colorless mana instead of 4, and 3 extra life. You can repeat for infinite mana and life, then with infinite mana you can repeat for infinite thopters. From there you can play Breya and use the infinite mana and thopters to kill everyone with the deal 3 damage ability.
There are many other Scrap Trawler + Myr Retriever + Mana outlet loops, but the key point is having the outlet, a 3 or 4 mana artifact that can chain down with trawler into retriever again, and a 1 or 0 cost artifact that retriever can chain down into. Many less mana efficient loops are made available by our artifact cost reducers or by using things that tap for mana over random artifacts, and also note that some loops will be available that maybe don't make infinite mana but make infinite life with thopter foundry, constantly play artifacts to draw with Jhoira, or just repeated return Mystic Forge to the battlefield untapped to reuse the tap ability.
The other main win condition of the deck is a conjurer's bauble + faith's reward loop. Once you are close to emptying your deck (Jhoira and Mystic Forge make this easier than it might seem) cast Faith's Reward or one of it's analouges to empty your graveyard of ETB draw effects. Then if you haven't already, draw the rest of your rest. If Jhoira is in play, bounce her with Aether Spellbomb, since her draw trigger is mandatory and you don't wanna deck yourself. From here, use conjurer's bauble to put your faith's reward back into our deck and then draw it. From here, you just need to sacrifice enough artifacts to KCI or foundry + altar that you have enough mana to recast your faith's reward, plus 2 extra mana. Spend 2 mana to use Breya's ability to sac 2 artifacts and deal 3 to an opponent (Pyrite spellbomb works too). Then cast your faith's reward to return all those artifacts back to play, which will include your bauble to redraw your faith's reward. Just be careful not to use a talisman for your infinite white unless you already have infinite life, and be extra careful not to draw cards.
Those are all the win cons I'm currently running, though you can feel free to slot in others, such as sword of the meek combos, nim deathmantle as another arguably better displacer, an OG Kozilek or Ulamog to meme on people by decking them with 50+ card windfalls, or whatever else you want to run.
Random Tips
A few notes on getting to your wincons: If you have a negate or Narset's reversal handy, hold up the mana on your combo turn if you can, because getting your faith's reward countered is game losing. Mystical tutor can end of turn tutor for whir of invention to get KCI into play, then you can sac a bunch of stuff to KCI to play to flashback mystical tutor for faith's reward or second sunrise. If you only have Whir of Invention but don't feel confident in your ability to combo off with KCI due to a lack of cards, fetch Mystic Forge instead and get some sweet sweet card advantage. Also, jam Jhoira asap if you don't have another way to consistently draw cards, she's busted if you can get her out before you finish vomiting your hand onto the board.
Closing Notes
If you have any questions about the deck, feel free to ask. I've goldfished a lot with it and plan on continuing to do so, so if you have any questions about mulligan strategy, what to do if an important piece like scrap trawler gets exiled, changes to make if you want to go more/less budget, or anything else about the deck, hit me up and I'll be happy to answer your questions.
