Given the name of the phobia:

An irrational fear of open or public places.

Agoraphobia

The correct answer is ☀ Agoraphobia. Agoraphobia is the irrational fear of open or public places. It is an anxiety disorder that can cause people to avoid crowded places, such as malls or theaters, or to experience severe anxiety when they are in these places.

The other phobias you mentioned are:

• Bathophobia is the fear of depths.
• Cacophobia is the fear of ugliness.
• Arachnophobia is the fear of spiders.