The word "gamesomely" implies a playful and lighthearted approach. There are several synonyms that capture a similar spirit, such as jovially, merrily, gleefully, buoyantly, and vivaciously. Jovially conveys a merry, good-natured demeanor, while merrily suggests a cheerful and carefree disposition. Gleefully, on the other hand, speaks to a sense of glee and enjoyment. Buoyantly implies a lightness and energy, while vivaciously suggests a lively and spirited personality. All of these synonyms capture a sense of playfulness and joy, making them useful alternatives to convey the same essence as gamesomely.