
die Zugabe
encore
An additional piece that an artist performs at the end of a concert or show in response to the audience's applause.
Die Band kam für zwei Zugaben zurück auf die Bühne.
The band came back on stage for two encores.
encore / freebie / addition
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encore
An additional piece that an artist performs at the end of a concert or show in response to the audience's applause.
Die Band kam für zwei Zugaben zurück auf die Bühne.
The band came back on stage for two encores.

freebie
Something that you get for free when buying a product.
Beim Kauf von zwei Packungen Kaffee gab es eine Tasse als Zugabe.
When you bought two packs of coffee, you got a cup as a freebie.

addition
The adding of a substance to a mixture, especially in cooking or chemistry.
Die Zugabe von etwas Zitronensaft verhindert, dass die Avocados braun werden.
The addition of a little lemon juice prevents the avocados from turning brown.
The word is made up of 'zu' (to/in addition) and 'Gabe' (gift). A 'Gabe' is something that you give. A 'Zugabe' is therefore literally something that you 'give in addition'—whether an extra song, a free product, or another ingredient.
Als Zugabe spielte der Pianist noch ein Stück von Chopin.
As an encore, the pianist played one more piece by Chopin.
The context reveals the meaning: in connection with a concert or applause, it means an additional song. When shopping, it is a free extra. In cooking or chemistry, it means the addition of an ingredient.
Das Publikum klatschte so lange, bis die Band eine Zugabe gab.
The audience clapped until the band gave an encore.
In a concert context, 'Zugabe' (encore) is often used with the verbs 'geben' (to give), 'spielen' (to play), or 'fordern' (to demand/call for).
Die Fans forderten lautstark eine Zugabe.
The fans loudly called for an encore.
When it is about adding an ingredient, the structure 'die Zugabe von + [substance]' (the addition of + [substance]) is often used.
Die Zugabe von etwas Salz verstärkt den Geschmack.
The addition of a little salt enhances the flavor.
extra
Extra and die Zugabe can both refer to something additional with a purchase. Extra generally means an additional component or benefit and may also cost extra; die Zugabe here is a specific free item included with the purchased product. Use Zugabe when the free item included with the purchase is the decisive point.

Beim Kauf der Kaffeemaschine gab es eine Packung Kaffee als Zugabe.
When we bought the coffee maker, we received a pack of coffee as a freebie.
Für die größere Portion Pommes müssen Sie extra bezahlen.
You have to pay extra for the larger portion of fries.