Yes, a synonym for "beyond exhausted" could be "utterly fatigued" or "completely drained." Other phrases like "totally wiped out" or "bone-tired" also convey a similar level of extreme fatigue.
dyspnea
Exhausted
Exhausted. Tired. Worn out. Worn. Weary.
fatigued,exhausted,sleepy ---------------------------------- bushed, shattered, worn out , beat
immeasurable
Freezing
over, beyond, opposite, cross
They were exhausted.
Stunning, bewitching, unexpected, beyond expectations
in the sentence "joe is exhausted" exhausted is a pronoun, describes "joe" the noun in the sentence "joe exhausted all of his options" exhausted is a verb, describing what the noun is doing or has done depends on how the word is being used
exhausted
Another word to explain that situation may be endurance.