Soft stools in 7-week kid

[Southern by choice]

Jered,
First off, welcome to the forum.
But, what you wrote about that they shouldn't be eating solid food until they are 3 to 5 months old is not correct. Dam raised kids will start to eat solid food at a month old. Many people completely wean by 2 months old, some earlier than that.

X 2 ... our dam raised kids nibble hay at 3 weeks and "mouth" feed. By 5 weeks they are eating very well while still running in for a quick suckle from mom. These are dwarfs... our larger full size goats take a little longer but are generally fully weaned between 90-120 days, eating hay and some feed at weeks old.
Of course there is always some variance but that is average.