Yes, you are correct, you need to enter the 1099-MISC as income and then claim the $4800 as gambling losses when you itemize. Gambling winnings should be reported on Form 1040 Schedule 1 on Line 8 as Other Income. Gambling losses can only be deducted up to the amount of the gambling winnings. Losses should be reported on Form 1040 Schedule A as a Other Itemized Deductions.
To make a difference in your tax return, your gambling losses plus any other itemized deductions must be greater than the standard deduction for your filing status to make a difference on your taxable income. For more information refer to How to Pay Taxes on Gambling Winnings and Losses.