Remote work with a 3yo is impossible, change my mind

I've been trying to make this work for 6 months and I'm losing it. My company let me go full remote after my second kid was born, which sounds amazing on paper. But my 3-year-old daughter doesn't understand why daddy is "right there" but can't play with her. She interrupts every single call, and my wife is at work too so I can't tag her in. Yesterday I had a client presentation and my son literally knocked over my coffee on the desk while screaming in the background. I feel like I'm failing at both jobs. Anyone else dealing with this? How do you actually focus?