That's far from accurate, the BM1398BB chips which are used on the S19 cost over $20 (ignore prices on Alibaba/Aliexpress because those are either scammer or failed to update the price list).
So for an S19 pro you going to need 114*3*20 = $8,640 in Chips alone, you might find them a bit cheaper, but nothing remotely close to the 2$ mark.
I disagree, and I am certain that it will cost you above $10k, you are trying to beat bitmain into making a "cheaper" gear is daydreaming at best, honestly, I think any rational thoughts should be based on the fact that ALL markets on planet earth eventually get to an equilibrium, whereby the "arbitrage" profit becomes too small.
So with that in mind, you have to keep in mind that there are a dozen of businesses there, including some Chinese BILLIONAIRES who have access to more resources than you do, they have hundreds if not thousands of staff and robots, if "cloning" an S19 pro today costs less than 10k, everyone and their grandmother in China would be doing that, the S19 pro sells for 14-15k in China, and it's selling HOT.
That 14-15k isn't a random number that Chines sellers decide over their wechat chat-room, it's a perfect mix of supply and demand, NOBODY was able to increase the supply and that's why the price hasn't dropped if what you think is true, the markets would be flooded with a no-name 110TH miners or so, but why aren't there any? unless you think you know things that nobody else does, which is unlikely.
I really admire your ambition, but what you are trying to do is worse than reinventing the wheel.