If one spoke breaks, replace it and pray that it was an anomaly. Break two and either rebuild the entire wheel or get a different set. The odds are good that you'll break more, but I'd still replace the one spoke first and make sure the shop loosens the wheel up and retensions the entire wheel, not just pop in the one spoke and tighten it up. Hopefully, it was an improperly tensioned wheel in the first place and your spoke breakage can be stopped by a new spoke and proper tensioning.
Good luck.
PS: You're not that heavy for a decent set of wheels. You may not be able to ride 1100g wheels but a shop should be able to build up a decent set of reliable 1600g wheels for you.
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“Train hard until your legs are tanned, then keep going until the shape arrives.” -Jolanda Neff