Yes, your approach is correct. You can show both invoices. Under the exception to Section 17(5)(b)(i) of the CGST Act, you are eligible to claim Input Tax Credit (ITC) on the hotel's 18% GST invoice because you are using it to make an outward taxable supply of the same category (food) to the department. You will report the hotel invoice as ITC and your invoice to the department as output liability, paying only the net GST difference.