I don’t think you have to give up the fight for S10, or make him question that you would do anything for him, but I think you have to face what you do not control and stop feeding her the kibbles she needs from you. I do think if you appear to back away that the game will be less satisfying for her. Does she really want the custody she is seeking? Does she really need to hear again how much you want to reunite them so it is something she needs to fight against. I think you weren’t far from it the with the King Solomon observation. But I think what she sees doesn’t have to be what you feel.
Because I love a good poem, this one by William Blake, “The Clod and the Pebble”:
"Love seeketh not itself to please, Nor for itself hath any care, But for another gives its ease, And builds a Heaven in Hell's despair."
So sung a little Clod of Clay Trodden with the cattle's feet, But a Pebble of the brook Warbled out these metres meet:
"Love seeketh only self to please, To bind another to its delight, Joys in another's loss of ease, And builds a Hell in Heaven's despite."
