Ok, so.
Gozran 4th to Gozran 8th (5 days method)
Taking 10, +12 Knowledge (engineering), +10 teams bonus = 32
32/2=16
I gain
1 Influence (15 gp)
7 Goods (70 gp)
7 Labor (70 gp)
By Gozran 8th, Bej spent 565 gp and has a Capital of 1 IP, 7 GP, 13 LP. I will adjust the sheet as soon as the thing with Drelev is over and we get into just downtime.
Next week I'll start building an Animal Pen (cost: 1 IP, 6 GP, 5 LP). It takes 16 days. This Animal Pen will be part of a Farm, who will become the Farm Terrain Improvement of a nearby Hex. Is this ok?
Also, while the Animal Pen is being built, do my teams keep generating Capital, or are they supposed to work on the building?
Your teams keep generating Capital. And you can certainly be creating a farm in an adjacent hex. Once completed, it will reduce the cost of creating a farmland terrain improvement in that hex by (600gp/1000gp) or 1 BP (assuming you're choosing a plains hex, it will cost only 1 BP to turn the hex into a farmland hex).