If it's just the mediation stage, I'm not even sure you'll see a judge yet. That's when both parties get with the court mediator and state what they want.
My ex lawyered up because I had a nervous breakdown and now I have supervised visitation with my child, I was still mentally unwell and didn't even have a lawyer there to help me in court. I'm still confused as to where to go from here, no paperwork from the last time we went to court and I don't know when/how to prove that I'm ok to have overnights again. It's all a mess. Covid combined with my mistake of asking my ex for help... he used it against me, made it so I have to either have him present for visits or nothing.... Oh then asked me to marry him. So yeah, it really sucks for me right now. After a decade of single parenting, suddenly I get sick and it's completely used against me in such a way that I may never get to be around my child ever again without having to deal with his dad literally lingering over us like a lost puppy or something. Very frustrating....
So catching covid gave me the worst insomnia I've ever had in my life. After weeks of not being able to sleep, I devolved into this horrible mental state where my nightmares were bleeding into my waking life, if that makes sense. I was "waking" from nightmares that were so realistic that I didn't actually know at the time that they weren't real. It was terrifying and I feel so ashamed from my bout with psychosis, but now it's like, how do I prove I'm better and that I'm getting 8 full hours of sleep? How do I prove I'm no longer a risk to myself or others? Where do I go from here?
In your case, OP, I remember being where you were a decade ago. Mediation was the part where my ex showed his true colors and the mediator takes notes on all of that nuance. My ex was concerned only with numbers, numbers of how many days he was with our child. This was obviously a ploy to get his child support down. Well FFWD to 2020 and he lied on child support forms, claiming he had our child for enough overnights in a year to where he didn't have to pay child support anymore. I brought this up that he perjured himself on those court documents, the courts did not care. It was bad, my psychosis, but it was also due to shouldering non-stop stress for two straight years only to get actually physically ill which then led to mentally ill, and now I never get to see our child without my ex lingering there the whole time. It's really a very depressing and heartbreaking place to be... I'm grateful for my current SO for helping me get back to a place of mental stability, but it's all too late to fix the damage it caused last summer. I miss being a hands-on mom so bad. I miss having a relationship with my child to where we could just talk about anything without having this awkward sense of shame hanging over my head because of the trauma Covid put us through.
Don't worry too much about the mediation stage, just try your best to be as lenient/accomodating as possible because the mediator will take note of who was the more compromising parent. Let him make himself look bad. If he's really not into taking the kids, then chances are he won't even show up... Good luck. Get good sleep so you don't ruin your f*cking life the way I did.