In Jainism, whether Akshay can eat out with Siya depends on a few factors:

• Akshay’s tradition and vows: If he is a lay Jain, eating out is generally allowed as long as the food is strictly vegetarian and prepared without any root vegetables (many Jains avoid onions, garlic, potatoes, etc., depending on their personal or family practice). If he is an ascetic, eating outside the monastic community is generally not allowed.
• Food cleanliness and preparation: The meal should be free from harm to living beings in its preparation (no meat, fish, eggs, or root-vegetable ingredients in strict practices; and utensils/dishwashing should follow personal hygiene standards).
• Community customs (Digambar vs. Shwetambar): Some Digambar or Shwetambar households may have stricter norms about what “vegetarian” means (e.g., avoidance of root vegetables, or certain cooking practices). It’s best to check the specific tradition he follows.

Short answer: If Akshay is a lay Jain and the restaurant provides pure vegetarian food with no root vegetables (and aligns with his local family/tradition’s standards), eating out with Siya is permissible. If he is an ascetic, or if the meal doesn’t meet his Jain dietary standards, it would not be appropriate.

If you’d like, tell me whether Akshay identifies as Digambar or Shwetambar, and whether he follows strict root-vegetable avoidance, and I can tailor the guidance more precisely.