Option 1 -> "Playground" is too informal and suggests a place for recreation or play, not intellectual gatherings.
Option 2 -> "Hotspot" perfectly describes a trendy, popular place where people frequently gather, fitting the context of a cafe.
Option 3 -> "Showcase" refers to a place to display or exhibit things, not a gathering venue.
Option 4 -> "Meeting" is grammatically incomplete and doesn't work as a standalone noun in this context.
Hence, Option 2: hotspot -> A hotspot is the ideal term to describe a popular venue where people congregate, making it perfect for describing a cafe that has become a fashionable gathering place for artists and writers -> correct