Google Captcha in a unifiedssp #563

I need to use Google Captcha in a unifiedssp custom page. But I can't render three parameters, only Login and Password. But if I use a self-asserted I lose the "forgot password" (Is not a big deal, I can put it in manually) but also I lose the magic link access (And this is what I can't do manually).
I also try to handle invalid credentials but I don't know how to create a subjourney to that.

Any options? I'm lost