No problem, glad you asked. I am very aware that I write long posts, so I actually do try to edit down the points I’m trying to make, if you can believe it.
The timing of Bronze Working for Brazil was specifically within the context of a fast CV (or even fast SV), which is what I normally pursue as Brazil (and I believe most players do, with SV thrown into the mix, sometimes RV if you want to be a masochist). Arguably, getting Bronze Working is not a strong priority for a fast CV (or SV), particularly at the opportunity cost of affecting the district discount mechanism. It can wait until you’ve settled most of your cities (and hopefully captured a few as well), locked in the price of your other districts, and are ready to go for Printing to boost your Tourism from GWoW.
When going Domination, I get Bronze Working much earlier, usually the fourth or fifth tech I research. As Rome, it is often the second or third tech I get. Knowing where Iron is and hopefully being able to get it is too important in Domination overall and particularly as Rome. I don’t care about district costs as much, since I will be capturing most of the districts I need.
For fast CV, in terms of districts, I either try to quickly get TS first (particularly with civs that have early Culture yields that allow me to do this, like Rome or Gorgo, sometimes Pericles and Japan) or Campus first (I do this with most other civs that don’t have inherent Culture bonuses or where I didn’t meet a Culture CS early), prioritizing the civics and techs accordingly. I make sure to avoid finishing the tech / civic for other districts that I don’t need currently. If I go Campus first, depending on the number of cities I can settle or capture, I try to build 3-5 of them before I reach TS, trying to complete at least 2 before doing so so that the district discount mechanism kicks in. It helps if I do capture a city if they already built a Campus for me.
Because Brazil often times has to go for Bronze Working earlier than most other civs would in fast CV to take advantage of those admittedly good adjacencies, they normally can’t get as many discounted districts. Additionally, getting Bronze Workng adds to your total researched techs in thee early game, increasing the cost of future districts.
While following the above in terms of tech / civic priority for my districts, I try to get Craftsmanship and Early Empire as soon as possible. I try to avoid State Workforce as much as possible due to the fact it gives you the Gov Plaza as a district. With Rome, thanks to how good my early Culture yields are, I can actually avoid Craftsmanship until I get TS, with no meaningful impact to my production of military units. This will mean your TS will be cheaper.
Particularly if aiming for building TS first, since I won’t be building districts, I run Agoge and Colonization at the same time, forgoing Urban Planning, and build only military (usually in my newer cities) and settlers (usually in my capital, maybe my second city). This is particularly powerful as Rome and normally Gorgo, due to the fact that you breeze through the civics.
If going for Campus first, it’s a little trickier. I still try to get Agoge and Colonization. I still use Colonization for my 3rd maybe even 4th settler. However, unlike with TS first, where I can still use it definitely for my 4th, 5th, and maybe even 6th settler, once I’m ready to build Campuses en masse, I usually switch Urban Planning back in. I will rely on my army to hopefully capture 1-2 additional cities.
I am all about getting a city every 10-15 turns for the first 80 Turns or so (and doing this at 1.5x to maybe even 2x the rate with Rome and Gorgo, where you are relying on your normally larger / stronger armies to capture those additional cities ... I’m definitely not hard building 10+ settlers, haha). I know some people like to wait for Ancestral Hall or Classical Age Monumentality before going on a settler spree after your 4th or 5th city, often times waiting for Provisions Magnus as well. For a fast CV, this might take a little too long. Particularly, if you delay your cities, you can’t lock in district prices as effectively. Rome is a potential exception to this due to getting to Political Philosophy so quickly. This is why I think Rome is so good (and why it kills me when some people view the free Monuments as “oh, it’s only a little extra Culture”, haha).
Admittedly, I am probably min-maxing more than most players like. However, the way I play civ, I see my previous win times as a metric that I try to beat or at least stay consistent with.