A warehouse worker injured his back while trying to carry a heavy load and was out of work for $6$ weeks. He was not able to generate his $$2,000$ weekly paychecks while he was out of work. He went back to work on the $7$th week but was assigned to a lighter duty, which paid him $$1,500$ per week, for $6$ weeks while his back recovers full strength. The state's average weekly wage is $$1,260$ as of January $1,2024.$ What will be this worker's cash benefit amount from the worker's compensation insurance?