In blackmail, you keep the damaging information secret while you try to get the target to pay. Publicizing it doesn't work, because the whole point is for the target to pay to keep it secret.
So, unless there is something worse that Levandowski would know she knows that would come out if the allegations in the lawsuit were litigated, this is not likely to be “blackmail as lawsuit”.
So, unless there is something worse that Levandowski would know she knows that would come out if the allegations in the lawsuit were litigated, this is not likely to be “blackmail as lawsuit”.