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the pyramid improvement itself yields +1 faith, so you have a desert tile with otherwise no yield +1 faith. the key is in the adjacency bonuses. so you put it next to a city center, and that's proper, so that tile now yields 1 faith, 1 food. if you surround it with more spec districts, that tile's yield increases.
https://civilization.fandom.com/wiki/Nubian_Pyramid_(Civ6)
also, in gathering storm, randomly, desert storms can increase the yield of desert tiles, so it's not unheard of, with a little planning and luck, to have a tile that's, for example, 2 food 2 faith 1 science, or 2 food 1 faith 1 science 2 gold, or 1 food 2 production 1 faith 1 gold. in any event, as i said, it's not just an additional yield to the city center, you must assign population to the tile. basically it's a bonus to an otherwise "useless" tile.
I think I'm also supposed to get improved production if I am beside the city center, which both pyramids are.
and +1 production (from the tile) is from adjacent industrial zone (or lucky desert storm event)
flood plains are probably the best initial site before the city builds more, for the food bonus. another synergistic contribution is building petra in the city, although that won't help flood plains, but 5 or more desert hills, mined, with petra and nubian pyramids, surrounded by industrial zone, commercial district, really huge city net totals.
Housing (most food improvements), amenities (cahokia mound), and tourism (seaside resort, national park, culture turning into tourism) don't.
Now I have the interesting decision of what to do with the other desert tiles. More NPs? Or would a district by them, maybe alternating between NP and district, be better. Do NP bonuses from a district stack? I.E., if you put the district beside or between two NPs, will both get the bonus?
good job on petra. even on immortal, it's not "too" difficult if you're prioritizing getting mathematics. frustratingly, AI will sometimes build it "just because" in a city with only 2 or 3 desert tiles and that's a waste. i mean, not getting it is one thing, seeing it in a city with little net gain is heartbreaking.