This is the 3362nd most frequent French word.
ait
Third-person singular subjunctive form of "avoir" (to have).
In this sentence, "ait" is part of the subjunctive mood, expressing a wish or desire.
Il souhaitait que tout le monde soit présent.
He wished that everyone would be present.
Here, "ait" is used in the past subjunctive mood, representing a completed action that is tied to another occurance.
Elle voulait qu'il ait terminé avant l'arrivée des invités.
She wanted him to have finished before the guests arrived.
In this sentence, "ait" is again employed in the past subjunctive mood, facilitating the expression of apprehension or doubt concerning past events.