This is the 5412th most frequent Turkish word.
kulübüne
"To his/her/its club."
Here, "kulübüne" is the dative form of "kulüp" and indicates motion towards the basketball club.
Ayşe basketbol kulübüne katıldı.
Ayşe joined the basketball club.
In this sentence, "kulübüne" indicates the destination of the invitation, the specific club Ahmet belongs to.
Ahmet, arkadaşını kulübüne davet etti.
Ahmet invited his friend to his club.
"Kulübüne" refers to the book club that Mehmet is joining, emphasizing the relationship of membership.