die Aufführung
performance
The public presentation of an artistic work, such as a play, concert, or opera.
Die Aufführung des neuen Stücks beginnt um 20 Uhr.
The performance of the new play begins at 8 p.m.

performance / listing
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performance
The public presentation of an artistic work, such as a play, concert, or opera.
Die Aufführung des neuen Stücks beginnt um 20 Uhr.
The performance of the new play begins at 8 p.m.

'Die Aufführung' (the performance/listing) is a noun derived from the separable verb 'aufführen' (to perform/list). The ending '-ung' turns a verb into a feminine noun that describes the action or result of the verb.
Die Schauspieler bereiten sich auf die Aufführung vor.
The actors are preparing for the performance.
You can easily recognize the meaning from the context. If it is about theater, music, or dance, the presentation/performance is meant. If it is about lists, data, or facts, the listing is meant.
Die Aufführung des Balletts war ausverkauft.
The performance of the ballet was sold out.
In a cultural context, 'Aufführung' (performance) is often used with certain verbs and prepositions. Typical phrases are 'eine Aufführung besuchen' (to attend a performance), 'zur Aufführung kommen' (to be performed), or 'bei der Aufführung dabei sein' (to be present at the performance).
Welches Stück kommt heute Abend zur Aufführung?
Which play is being performed this evening?
game / play
'das Spiel' and 'die Aufführung' can both have to do with theater. In this context, 'das Spiel' refers more to the acting, that is, how actors portray a role. 'die Aufführung' refers to the whole event in front of an audience, for example a play, a concert, or an opera. Learners may confuse the words because in a play you can see both: the actors' acting and the performance as an event. If you are talking about the actors' performance, 'Spiel' fits; if you are talking about the public date or show, 'Aufführung' fits better.

Die Aufführung beginnt um sieben Uhr im kleinen Theater.
The performance begins at seven o'clock in the small theater.
Das Spiel der jungen Schauspielerin war sehr ruhig und überzeugend.
The young actress's performance was very calm and convincing.