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When the batteries are week, you will hear lots of noise from the dash. Could be the glow plugs were pilling the battery down. Put a meter on the bats while the glow plugs are on and while starting.
I take it the truck started after the buzzing stooped?
Quite often, buzzing behind the dash is the result of a failing multifunction switch (turn signal). You can unplug the the connector from the multifunction switch and see if your buzzing stops to confirm. Good luck.