Your mediator knows nothing about move laws in CA, that is clear. Maybe she knows, but is snowing you to try to get you to agree to the move, to make mom happy. Screw them, they are obviously trying to screw you.
In your case, there is no CP yet, and you should insist at every opportunity that you are the CP. Don't let your X call herself the CP; dispute it every time she says it. Tell her she is free to move, and she is free to have liberal visitation with the child. Don't agree to any visitation schedule that gives you less than 50%. Dig your heels in and insist that your child remain with you. Biomom can move where she wants, that's her decision, but the child stays with you in CA. Don't compromise on that.
Have you read the FAQ section about defusing objections? Don't let them snowjob you, they are trying, and it appears you are falling for it. Don't let your kid leave the state, unless you get what you want. Once your kid is gone, you will regret it. Wake up man. Good Luck.