Is there a way to automate IG engagement groups?

I've been looking at engagement groups to increase ... well, my engagement. I noticed that it includes regular posting of your links into telegram, exporting a list of profiles, liking posts, ... lots of manual work.
Is there a way to automate this? I have followliker and followplanner accounts, so the liking and commenting part I know how to automate.
But can I somehow automatically share my posts into telegram and extract the list of other users? Or or there other ways to automate this whole process?

Hmm, I´m not sure about that part. But for engagement pod, there are a lot of bots that work on Telegram. Check out @LeechingBot (I´m not afiliated with them). It´s free for the basic services and is a good way to start. Proably you can ask them for your needs.

Telegram has an open API for bot communication. However, your engagement group would have to let you join with the bot (IIRC all telegram API bots require the username to end in bot or something similar to ID it is a bot). This can read / post to the group based on rules that you specify.

Even if you could find a telegram bot that just automates the user (not bot API) or the engagement group allows bots, you still need it to talk to your instagram bot. Some bots have methods for doing so, but getting your telegram bot to use them could be tricky if at all possible).

I heard that fuel gram has tool which can do that, but i am not sure, because I don't use it my own.

Almost all engagement groups will have a premium spot. contact the admin of the group.

I dont think so. i think your best bet would be to create a telegram group of your own. Typically the owners don't have to engage with other peoples content.