Talia has good stats in everything except learning, and it makes sense that she won't give an extra action with 1.3 coop with Lex because she is still part of Ra's Al Ghul's faction, and both she and Lex are wary of sharing too much info with each other.
She has coop of 1 or higher with Lex, Pamela, Karl, Cassandra, Caitlin, Louise, Robert, Elaine, Helena, and Starfire. It is either due to respecting the person, or knowing how to manipulate them to get what she wants out of them.
A few coops that caught my attention:
Cooperation score with Karl Helfern: 1.7? (Talia is immensely interested in Karl Helfern and his bone growth formula and thinks that his ideas might be useful to incorporate into her own faction if she makes a formal break from her father. She doesn't mind his anger and his depression and instead sees them as useful points in which she can manipulate him and keep him focused on whatever she wants him to do. Karl for his part sees Talia as an individual with vision who is understanding of the future and often misses how effectively she steers and gaslights him to be as productive as possible. Talia is not actively bad for Karl's mental health, but she's entirely uninterested in helping him get over his issues as doing so would likely mean he'd become less focused on producing the products and formulas she wants him to)
Talia may be someone interested in creating and utilizing bone serum soldiers in the future. This is actually the seconded highest coop she has with anyone at LexCorp, the top one is with Cassandra at 1.8 coop.
Cooperation score with Carl Draper: 0.5? (Talia has come to the conclusion that Carl Draper is probably the person most personally dangerous to her at LexCorp. Whilst Lex Luthor and Mercy Graves are objectively more dangerous, she's confident that Carl is actually more dangerous due to his ability to fade into the background a lot more and his general management of the Department of Internal Review. He's one of the few people that Talia is convinced could work with the Leage of Shadows and would be exactly as effective as he is now. As such Talia tries to keep her distance aroudn him so that she can get a better read on his personality. Carl for his part doesn't really have many thoughts about Talia)
She's wary of Carl, but sees how valuable his skills are. Everyone wants to poach him, we should give Carl some kind of power enhancement soon.
Cooperation score with Dr. Moon: 0.5? (Dr. Moon and Talia al Ghul have been nothing but polite and routinely courteous to one another. It's unclear how they actually feel about one another)
My thoughts are they either really hate each other, or they don't want to draw speculation as to what Dr. Moon has done for the League of Shadows in the past so they put on the casual act.
[ ] [RTS] Dr. Moon
Unlike the other individuals who Oswald found Dr. Moon is not really all that well known. His background is completely blank and while he professes to be a skilled biologist you are not sure. One thing he has admitted which is concerning is that he has worked with the League of Shadows before and is known to them. The matter is concerning and you aren't sure that you should let him in
Cooperation score with Helena Bertinelli: 1.1 (Talia and Helena get along fairly well and their shared expensive tastes gives them an easy angle to bond with one another. Talia likes Helena and would be interested in poaching her for her own use if it wouldn't offend LexCorp. She's unlikely to do so, due to viewing LexCorp as more valuable than Helena but she does lament that they didn't meet when she was in Gotham. Helena for her part finds Talia to be nice enough if a little formal and haughty)
Too slow Talia! Both should be on the assassination action against Mandragora when it comes up.
Looking at her two traits:
From Shadows: If Talia takes performs an intrigue action that is not detected by any opposing hero units prior to the bonus kicking in add 25 to the end of Talia's role. This trait does activate on rerolls
Intrigue actions investigating information or origins, that won't have another person or group actively trying to hide the info or stop any intrusions/investigations. There's a few actions like that on the action list.
Ghul's Gold: If Talia assigned a stewardship action, in exchange for cancelling the rolls of all hero units assigned to the action and making intrigue actions to check what occurred with the stewardship action significantly easier, Talia can automatically set the result of the roll to any number between 1 and 100
So she can be assigned solo to a stewardship action, gets full control of the action to see every bit of how it works, there will be no roll, and she can alter or sabotage it to be anything in the range of 1-100. If we're willing to give up all company information involved she could take any Stewardship action and make it 100 for us, that's how I'm interpreting this.