It is highly unlikely that this calf was sired by the AI bull. Different breeds have different lengths of gestation. Angus is approximately 281. I believe Herefords are about 288. You mention your cow is registered Angus. I raise registered Angus cows and most of my calves are born between 275 days and 287 days. I record when I see the bull mounting or following. I have been able to determine gestation on many births. I also have commercial cows with Hereford, Simmental, and other breeds. The are usually longer gestation. I also do some AI every year. For some reason, almost all of the AI bulls have shorter gestations. You will often hear from others that you need to start looking for calves out of certain AI bulls two weeks early. I believe this is because many AI bulls have been selected for small birth weights and calving ease.
If your cow calved today she is at 304 days or 23 days over. Since an average heat cycle is 18 to 23 days it would be right on time for the back up bull. Unless the calf is over 100 pounds, I would not even bother on the blood test, but for $18 you can send a sample in to AAA and find out for sure. Artificial Insemination fails about 1/3 of the time, even with a skilled breeder. It is more successful with natural heats than when synchronized and time bred, but never approaches the success rate of a good walking bull. Sorry, but I doubt the calf is AI.