Itc for company receiving airline agent services

One company is booking air ticket through air line agent for its emloyee for official tour purpose.. company is exploring the option to ask airline agent to give its GSTIN to the airline company while booking the ticket and take ITC? Is it right?

Currently agent is issuing the invoice only for reimbursement. Airline agent is receiving nothing from the company except that it is receiving discount from airline company and passing on some discount to company.. this treatment is correct or not??