When Athena departs from Telemachus and Nestor how does she reveal she is a goddess?

Athena reveals her divine nature to Telemachus and Nestor by transforming her appearance and displaying her supernatural powers. After providing guidance and support, she suddenly envelops herself in a mist or light, which signifies her otherworldly presence. Her ability to appear and disappear at will, along with her majestic aura, underscores her identity as a goddess, leaving those around her in awe. This divine manifestation reinforces her role as a protector and guide for Telemachus on his journey.