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President Trump is ripping air traffic controllers a new a**hole as the government shutdown drags on ... threatening to dock the pay of those playing hooky from their posts.

Trump fired off the financial threat Monday morning on his Truth Social app, claiming any air traffic controller who doesn't work during the shutdown "will be substantially 'docked.'"

The messaging comes in the wake of the FAA ordering reduced air traffic at 40 major airports across the country ... tons of flights are canceled or delayed, and travelers and pilots are feeling the stress ... especially as the holiday travel season ramps up.

On the flip side, POTUS says he will recommend a $10,000 bonus for air traffic controllers who didn't take any time off during the shutdown and kept plugging away without

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