IMO the advice to try to save the wheel isn't well thought out.
Consider the time element. 2 broken spokes within less than a hundred miles, maybe less than fifty.
Most people knowledgeable about wheels consider a single broken spoke after a LONG while an isolated event. 2 is kind of a warning of things to come. Generally, the interval between breaks gets shorter, not longer. What you're seeing means that something is fundamentally wrong.
So, let the past guide your expectations.
It's true, that proper reworking of the wheel might help, but it would be disingenuous to assume that, whatever the problem, it's isolated to those 2 spokes.
Time to rip off this band-aid, and start fresh with new, proper build, using new spokes better suited to your needs. If you like this rim, and want to save dough, that's probably OK.