Kontact's advice is very good. Follow that plan.

A cycle of spoke breakage began because the wheel was built badly. It's hard to tell the difference between a well built wheel and a badly built one. But now you know what you have. A badly built wheel creates fatigue. Fatigue occurs when you stress something with less force than the force required to break it. But repeatedly stressing the spoke below the breaking point weakens the spoke. That lowers the point of force required to break it. The weakened spoke is then stressed the same amount but that amount is now below the breaking point so the spoke breaks.

At this point, a great number of your spokes are fatigued, and the problem will recur as you replace spokes one or two at a time. The solution is to start with all new spokes and build the wheel well.

You sound mechanically savvy. It might be a good time for you to learn to build this wheel. There are web pages and videos and books and forum members who are willing to help.