Would amlodipine and benazepril have any effect on a gout patient?

Hello, no the medications you listed are not for gout, after the explanation of the uses of both I have listed some medications(for gout) which you must discuss with your Doctor.

Amlodipine Uses:

Amlodipine besylate (Norvasc) is a prescription medication licensed to treat conditions related to the heart and blood vessels. Specific amlodipine uses include:
Controlling high blood pressure (hypertension)
Treating heart disease (specifically coronary artery disease), including:

Angina treatment, including exercise-induced angina (chronic stable angina) and vasospastic angina (Prinzmetal's or variant angina)

Coronary artery disease in people who do not have heart failure.

Benazepril Uses

Benazepril hydrochloride (Lotensin) is a prescription medication that has been licensed to control high blood pressure (hypertension). It does not cure high blood pressure.

MEDICATIONS FOR GOUT

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Drugs Used for Acute Gout
For someone with an acute attack of gout, medications that are prescribed may include one of the following:

Nonsteroidal anti-inflammatory drugs (NSAIDs)
Corticosteroids, such as prednisone
Colchicine.

These medications are used to block the inflammatory reaction seen in an acute gout attack. Drug treatment can often relieve acute gout symptoms within 48 hours.

Nonsteroidal Anti-Inflammatory drugs (NSAIDs)
For an acute attack of gout, healthcare providers most commonly prescribe high doses of nonsteroidal anti-inflammatory drugs (NSAIDs).

These drugs include:

Indomethacin (Indocin)
Naproxen (Naprosyn, Anaprox, Naprelan).

NSAIDs reduce the inflammation caused by deposits of uric acid crystals but have no effect on the amount of uric acid in the body. These medications are taken by mouth.

Corticosteroids are the other type of medicine most commonly prescribed for an acute gout attack (prednisone being the most common). Corticosteroids are strong anti-inflammatory hormones which are taken by mouth or injected into the affected joint.

Colchicine
When NSAIDs or corticosteroids do not control symptoms, the healthcare provider may consider using colchicine as part of a gout treatment plan.

Colchicine is one of the oldest medicines known to be effective against acute gout. It comes from a common European plant, the autumn crocus. This medication for gout is most effective when taken within the first 12 hours of an acute attack. Doctors may ask people to take oral colchicine as often as every hour until joint symptoms begin to improve or side effects such as nausea, vomiting, abdominal cramps, or diarrhea make it uncomfortable to continue taking the drug.

VERY IMPORTANT.-
CONTACT YOUR DOCTOR FIRST AND DISCUSS THIS FURTHER

I hope I have been of help to you.-