Thinking back, I'd guess both hotels were opened around the very early sixties. The Skyway Hotel (now the Radisson Park Inn?) is across the Bath Road from the Three Magpies.
Then still on the Bath Road about a half-mile east, the circular-shaped Ariel Hotel, quite close to the Air Hostess pub opposite. If still there, I trust that's since been PC-renamed "The Cabin Attendant"!