I would not advise using Chui Dao for this charm. Consider that, with poor luck, it may entirely replace the Life aspect, which is rather critical.
So, Metalworking 0.
The Life-aspect serves primarily to augment the 42 points of Blood further. It is helpful, but not necessarily essential.
More to the point, OOC Ves wants this Charm to not get delayed any longer, and this desire of his is very strong. This implies that any of the seven Charms would be something that we could start on immediately.
Where does the 10 metalworking come from? and how does 3 more dice per roll equal 20 more successes needed total? The Heart/Fractal Build faster, and have immediate effects sooner than the Forge, which still leaves us horribly mutated and unable to craft properly or walk for some time after it's finished.
Very well, I was holding out on the exact math for the sake of no one calling me out for using mechanics, but I have been openly asked here. This goes to everyone who's reading this: Please don't attack me for doing this. I care about the narrative implications of the Forge too, and just because I listed out the crafting calcs doesn't mean I'm a cold, unfeeling person who only cares about numbers.
With all of the disclaimers given, let's begin.
Our Physical Talent is 3, meaning on a roll of 1 to 10, 7 8 9 and 10 are successes. After factoring in the math for exploding 10s and 1s dropping successes, this evens out to 1 success every three dice. Our Drive while crafting is 1.5. We have a 25% malus to all DEX-based skills which includes Crafting based skills. Our Jewelcrafting is 7.
For Jewelcrafting, a single action looks like this. 4*0.75*(7)*(1/3)*1.5 = 10.5 successes on average.
One important thing to note is that Chui Dao works independently from Zhi's Drive and his malus. He is not boosted by *1.5 or deducted by *0.75. Metalworking 0, by the way, means we have an average of 0 successes per action without Chui Dao.
For Metalworking, a single action looks like this. 4*0.75*1*(0) + 20 = 20.
I'm sorry, but you asked for this.
For the sake of completion, I'll give the last statement. Taking into account Craft Charm raising the BT by +10, Heart of Kong would have the build section complete in 6 build actions. Forge of Idealization will be finished in 4 actions.
As an endnote, I will say it again. I don't care that Forge will be finished in two less actions. It could take two more actions and I'd still vote for it. However, since the argument in question said that it would be completed slowly and questioned the math behind my statement, this was needed in order to protect my word.