sounds like a short. Check the wiring with an ohmmeter. As you said it bogged with the headlight on.
It could also be the stator went bad. Look inside the ignition cover. Make sure that is dry. Spray some WD40, or better yet, some CRC electrical cleaner on there. Make sure there are no loose wires or frayed wires inside.
Also check the spark plug cap. Some bikes have a resistor cap and that can cause a problem also.
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