No, you don't have to enter the 1098-Tm and your instincts are correct. You would have to reduce the amount of any qualifying educational expenses by the amount paid by any GI Benefits. The amounts for Room and Board aren't qualifying educational expenses, but the assistance isn't taxable to you either.
See this link for more information: https://turbotax.intuit.com/tax-tools/tax-tips/Tax-Deductions-and-Credits/Are-GI-Benefits-Considered...
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