So, there are several reasons which can cause spokes to break continually. Metal Fatigue is one, but it should take longer than that to be as serious a problem as it appears that you have.
They will also break if there is damage to the wheel in some fashion. Meaning if you hit a speedbump at reasonably high speeds, and the rim gets out of true, even if you true and tension it again, it may need more attention for the rest of its useful life.
If you break one spoke, and replace it, and the problem goes away, then you're fine. Breaking 2 or 3, or more, spokes on a wheel in a reasonably short period of time, especially if it is without apparent cause, like hitting something, is usually an indication that the wheel is permanently damaged and needs to be rebuilt or replaced.
This can also be the result of poor maintenance practices. A basic wheel should be trued and tensioned properly again after the first 100-200 miles of riding, and may need to be retensioned regularly to stay strong (at much longer intervals, like say every 6 months when ridden regularly). This interval will vary depending on rider weight, riding style, and skill. If this is not done, it allows the poorly supported rim (because the spokes are loose) to flex and bend as you ride, and even if you later tension the wheel again, it will not be as good as it was new.
The economy of scale in the USA and Europe means that it is often cheaper to buy a good prebuilt wheel than it is to have a handbuilt wheel made for you, even if they use the same parts.
I would think about where and how you ride the bike, and whether it is possible that you could be causing the damage in some way, and I would find a different shop with a good reputation, and ask them the same questions. If you get similar answers, then you can trust that the shop you are going to is doing well for you. Most shops do their best, in my experience, but not all shops have similarly skilled and knowledgable staff.
Last, there are definite quality and durability differences between a good wheel, even a good basic wheel, and a cheap factory built wheel of the type that would come on a sub $500 bike. What wheel do you have? What bike? If we know that I can help more directly, but these are good general rules to follow.
Hope that helps.