All 3 Uses

blithe
in
Typical American, by Gish Jen
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It was just before sunset, a time of day when the sun stared blithely across the kitchen, instead of studying the floor.†
Chpt 1.7 *

blithely = in a carefree and happy manner -- often unaware of or ignoring something that should be of concern
Sure," he said, blithe as a new frog.†
Chpt 2.13

blithe = carefree and happy
Mona was blithely pointing at a red turtle.†
Chpt 3.22

blithely = in a carefree and happy manner -- often unaware of or ignoring something that should be of concern

Definitions:

(1) (blithe)
carefree and happy -- often unaware of or ignoring something that should be of concern
(2) (meaning too rare to warrant focus)