My child born in Oct 2015 in UK, I will be eligible for ILR through Tier 2 in July 2018 and in April 2018 through 10 years route.
My wife will be eligible in August 2019 as she came here in August 2014.
I am extending my and wife's visa in June this year for another 3 years. I will also include my child as a dependant as we want to visit homeland country.
Now based on above information, would my child will be eligible for British Passport as soon as I get my ILR ?
Please add some reference only if possible

Thank you so much