Did she give you cautions about handling the chloramphenicol? I found this:
"Precautions
Keep this and all drugs out of reach of children.
PRECAUTION FOR HUMANS: Chloramphenicol can cause permanent damage to the bone marrow in about 1 in 10,000 people. For these people, even skin contact can cause permanent damage. Because this aplastic anemia is not reversible, chloramphenicol should only be used when other suitable antibiotics are not available and with extreme caution. Gloves and masks should be worn when handling this drug. This drug should be used in a well ventilated location. If your pet vomits or has an accident indoors, you should wear gloves while cleaning up the accident. Children and pregnant women should not come in contact with this drug.
Chloramphenicol is metabolized in the liver. It should be used with care in patients with liver or kidney disease. Dose adjustment or monitoring of antibiotic blood level may be necessary.
Chloramphenicol should be avoided or used with caution in very young or premature animals. Kittens in particular may have difficulty metabolizing this drug.
Chloramphenicol may be used in older animals with normal kidney and liver function.
Chloramphenicol crosses the placenta and is present in milk. There are reports of both bone marrow suppression and birth defects. It is not recommended for use during pregnancy or in mothers that are nursing.
It is illegal to use chloramphenicol in animals that may enter the food chain."
Full page here:
https://www.wedgewood.com/medications/chloramphenicol/#Precautions
I found some articles that say there is "some evidence" that using it as the same time as amoxicillin could possibly reduce the blood serum levels of the amoxicillin, but also found some that say there is no direct clinical evidence of that. And some articles do say that they are prescribed together sometimes. So, clear as mud on that.
Personally, with the cautions it comes with just for handling, I would prefer to use something else. Just me, I'm allergic to the planet, so am pretty cautious. If these are birds that you are considering eating the eggs of, or maybe the meat, I would definitely have a conversation about that with the vet before using that medication.
Many who deal with respiratory issues use Oxine in vaporizers or nebulizers for chickens, that is available here without a prescription, don't know if you can get that there.