I set my base up under the big tree on an official. I also abuse every glitch in the game, so I don't really need my pals mining stone or wood, just farming and ranching.
While the tree is my favorite spot, my second favorite ON MAP location is [-27, -168]. Wood, stone, ore... I swear genshinlabs.com is gaslighting me and there IS one coal node there... it also have a skill fruit tree that the pals will harvest for you.
BUT WAIT, THERE'S MORE - 2 dungeons past the convenient Pal Camp. You get to slide down a mountain into 2 Fast Travels which is great for farming early exp with the random pal alliance members. Across the channel towards the Elizabee boss is a Black Marketeer by a waterfall cave for $$$ / Pals.
I love it. I think there are 'better' spots for a base, but its still my favorite... non-glitched spot. :p