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There is no harm in resetting the breakers, especially if you wait at least 2 minutes before turning them back on.
The problem however is most likely a bad fan motor or printed circuit card.
Honeywell is a thermostat brand.
Your furnace will be some other brand. Tell me a lot about your skill sets and if you want coaching on diagnosis and repairs, or a reference to a well rated service outfit in your area.
We can go from there.