That's an amazing picture of the baby chick! Great job.
It's hard not to feel like a "co-parent" but you have to give them a chance to use their instincts.
During egg stage I couldn't find the dad in the cage so I opened the nest box and saw mom and dad both in there, with dad sitting on the eggs. Without thinking I gently put my hand in to shoo him out so I could check the eggs, and momentarily he leaned back and gave me the "eee-eee-eee" machine noise before jumping up and flying out. I could have kicked myself for doing that to him on impulse.
I am SO LUCKY he resumed his duties feeding mom, etc.-----I could very easily have disrupted their rhythm of responsibilities, by butting in like that.