Issue description
You want to draw a Zone, but it automatically creates a Label beside the Zone Stamp. While it's easy to delete, you might prefer to disable this feature in general.
Solution
From Archicad 25, Zones can have Zone Labels which can be turned on/off automatically.
You can turn off automatic Label creation by turning off the Label tool icon at your info box.
Zone stamps are integrated within the Zone, and their visibility can be adjusted by using the Model View Options. Also, when the layer of the Zone is turned off, the Zone Stamp will become hidden.
On the other hand, Labels are separate elements. Which means you can have multiple Labels in different layers and different positions, sizes, information, but you only need one Zone.
You can use Zone stamps and Zone labels together or separately depending on your purpose or needs.