This doc has composition of dairy goats' manure in New Zealand: https://www.waikatoregion.govt.nz/assets/PageFiles/19392/managing%20barn%20manure%20on%20dairy%20goat%20farms.pdf. The dairy goats are probably very well fed and so may have higher nutrient manure than many other goats. The NPKS for fresh, wet manure was 1.8% N, 0.25% P, 0.91% K, 0.58% S. Not sure if the P and K are converted to oxide or not in this study, so actual P and K values for manure may be a little higher than a fertilizer with NPKS value listed as 0.25% P and 0.91% K. Either way, the nutrient content is much less than many fertilizers.
Two of the takeaways from the doc were:
Best spread fresh – minimise storage
If you can’t spread it straight away – cover it!
I don't have goats, but I do use my own urine straight on my garden. Seems to be fine so far, but I have been meaning to check about sodium sometime to see if it is a risk of putting too much sodium in the soil. I did burn part of my lawn one time with urine because I had overlapped the application and put too much on in one spot. The grass came back though.
The problem with using fresh manure in a food garden is potential for pathogens. Usually you should keep 120 days between manure application and first harvest, or 90 days for corn or other crops protected from soil splashes. There are docs from USDA that talk about how long to wait, but I am pretty sure those are the right numbers. I know some people who got sick after eating raw vegetables fertilized with manure tea, but I am not sure it was from the manure tea. Worth checking out more.
Good luck!