Southern by choice
Herd Master
from modern Latin Strongylus, from Greek strongulos ‘round.’
This is a family- IOW there are many kinds of "ROUND" worms. The most dangerous is the Haemonchus contortus also known as the barberpole worm. It is a bloodsucker.
You must treat the cocci and do a PROPER deworming and repeat dewormings so eventually all stages are killed THEN he will gain weight and hopefully start to thrive.
I suspect the cocci is doing far more damage than the parasites. Cocci destroys the lining of the intestines so nutrition is not absorbed well. Cocci causes coughing, like I said before.
Although if he isn't in a quarantine area he is dropping this everywhere and exposing your other goats.