I'm sure no wheel expert but I'd say ask yourself about the conditions under which it started breaking spokes. Always on the drive side? Always a pulling spoke? Of course, the treatment is probably the same regardless of the diagnosis.

The thing is, you don't know how true the rim would be without the spokes holding it in shape. And you don' t know if piecemeal re-tensioning over time has gotten the spoke tensions uneven. So if it was mine and I liked the hub, I consider re-stringing it, probably with new spokes. It will mean taking it apart, which will give you a chance to evaluate the rim. If the rim is pringled then you know you need a new one. New rim or no, re-stringing it will mean you are starting with all the spokes more or less evenly tensioned.

Some might say this isn't a cost-effective approach because used or even new wheels are so inexpensive. But it is rewarding. If you are clever with string and stuff you don't need a truing stand or dish gauge.