That is the correct spelling of the adverb "wearily" (as with fatigue or tiredness).
The adjective is weary.
A similar word is "warily" (with caution or suspicion).
He spoke wearily.He explained the situation wearily to his class.I wearily thought of a sentence for this word.
She exhaled wearily.
Wearily a root word is wear
weary, wearier, weariest
two people travelled wearily across the desert
The adverb in this sentence is "wearily" because it describes how Sally dropped onto the couch.
They sank wearily to the beach after swimming a mile in the ocean.
Wearily he trudged home after a hard day's digging potatoes.
"Wearily" describes a state of exhaustion or fatigue. For example, a student might wearily drag themselves to class after an all-night study session. A parent might wearily collapse onto the couch after a long day of work and parenting. Similarly, a soldier may move wearily through the battlefield, burdened by the weight of their gear and the toll of continuous conflict.
Eerily.
Sincerely, wearily
Weary is the adjective.