I didn't read the post where she died until now. I am sorry. The baking soda didn't poison her, but the milk very well could have. You might want to take notes for next time, and there will be a next time. I do have a couple suggestions for future reference. One, get a weak kid (lamb) syringe...
I should have told you to hold off on the milk until she was a LOT better. And then to start back very slowly. About all you can do at this point is to try to keep her hydrated and warm. A little baking soda wouldn't hurt. I have been known to add an egg to the fluids for nutrition if I had to...
Does her abdomen feel squishy? Does it gurgle if you gently shake her? If so, she may have floppy kid. It has been so many years since I have had to treat it, I have forgotten a lot. Look it up on line. If the kid has floppy kid, milk is the worst thing for her. Discontinue milk for at least...
I have no idea what variety of GasX I used. I just grabbed a package of tablets off the grocery store shelf. I am not sure the liquid form was even available when I was using it. Please understand that it has been quite a few years since I last had goats or any livestock.
There is nothing wrong with pasteurized milk. In fact, for disease control it is sometimes better to feed it than raw milk. I fed my kids pasteurized goat milk and heat-treated colostrum to prevent the transmission of CAE when I did not have enough milk from my cows to feed them. Some years ago...
What evidence do you need? I raised literally hundreds of baby goats on cow milk, and I know other breeders that did the same. When I had my goat dairy, I also owned cows. I raised the kids on cow milk and sold the goat milk. Baby goats thrive on cow milk and baby calves do very well on goat...
Your overall advice is excellent except for one thing. If you have to hand feed a kid, you definitely do not need replacer. Plain old cow milk from the store works a lot better than any replacer ever made. It is much safer, too.