So, can character A be given an action, then chosen by Indigo-1 to be placed after that action resolves? Or does this imply that character A would no longer be eligible to be placed since that character made an action? Also, after character A has been placed, I can still give that character a free action right?

Trying to search for an answer to this wording made me come across Telekinesis and it's wording towards the end of its description:

I would definitely assume that character A could not use Telekinesis before (and definitely not after of course) being chosen as a target by character B for Telekinesis. Is that in fact correct?

Yes they may still be selected and placed if they've already been given an action. They just could not be given any other actions after being placed.

No. A free action is still an action. Indigo-1's effect prevents any action from being given.

A character that has been placed by Telekinesis can not use Telekinesis after it has been placed. It does not matter what it has done before being placed by Telekinesis.

1: Yes
2: No
3: No, you can't give them any action. (The ability would need to say "The chosen character can't be given a non-free action this turn...") As written, even free actions are disallowed.

4: I'm not sure I fully understand the question. If character A places character B through Telekinesis, character B could not then use Telekinesis that turn. Indigo-1's ability doesn't check for TK at all, so you can TK with character A before they are pulled back by Indigo-1, but not after.

I didn't mean to make it sounds as if I was still referring to Indigo-1's trait ability. It was a separate question that just referred to the wording in Telekinesis.

I'm sorry that I made the last question so confusing. Let's say character A uses Telekinesis to move an object. Can character B then use TK to place A in another square, or has character A made himself ineligible by having used it already?