Bigmd, I understand what you are going through. What I wrote is an alternative view (as another possibility) that might be challenging, I agree. But this woman is asking you for honesty.
This is a trauma bond, and both of you are suffering from a lack of trust. The way out is to be honest about the behaviors that facilitate mistrust. Trust requires honesty.
Rather than use the word “games,” it’s important to catalogue actions and see them for what they represent.
Sending her a concerned text is nice, but with the prior history that you have, it is a glaring omission concerning what’s really going on in your life, which is that you are in a new relationship now, one which requires trust in order to survive.
I think you’d agree that taking a 1a.m. text from a former lover while the new lover remains unaware is a breach of trust- even if you are at your workplace.
Not closing the door to a past relationship, (one that has upset you greatly) and not allowing this person to be known to your new partner while you communicate with her back and forth in secrecy is also a breach of trust.
If you cannot block her number from your phone, and you continue the traumatic bond with her- then there must be a reason why. There must be a reason why you cannot bring her and your current partner into awareness of each other.
Honesty facilitates an outcome.

The new partner then has the information needed to make her own decisions concerning the triangulation that is taking place and the former partner may realize that a third party is involved- possibly distancing to the point that you may never hear from her again.
We do the normal small talk. And I should be honest with her as she has been honest with me. She adds that she's not playing games
There is a reason why she is asking you for honesty.
I'm not the problem here. I'm not obligated to tell her anything.
There also must be a reason why you feel under no obligation to provide it to her.
