BIK has an exhaustive list of IG triggers through which all of Instagram actions can be automated.

IG triggers are of below 4 types:

Direct message - Actions like any Direct message, Ads or posts forwarded on Direct Message
Comments - Comments on post, reel and Ads
Story action - Replies, React and mention on stories
Certain specific IG events - Chat session closure to trigger CSAT. Or payment link update for end to end checkout

Direct Message

Actions like any Direct message, Ads or posts forwarded on Direct Message

For Ads, users can choose

Similarly users can choose specific or any posts

Comments

Trigger an automation whenever a user comments ‘need more details’ on a specific post.
Trigger an automation whenever a user comments ‘participate’ or ‘play’ on a specific post which is about a contest.

Here again, users can choose

Trigger an automation to reward a user with a coupon code whenever he tags/mentions you in their story (the users account should be public).
Trigger an automation whenever a user replies on any story.
Story mention

Ask your users to create stories about your products/brand and mention your IG handle. In return offer discount for next purchase.

Your customers can create stories about new products launched or about their last purchase

For stories, we don’t allow choosing a story as they are valid only for 24 hours. Users can :

Chat session closure to trigger CSAT. Or payment link update for end to end checkout