I have no reason to doubt the truth of what you posted applies to your state. I also believe that there may be some sort of religious exemptions for groups like the Amish, who educate their children to the eighth-grade level.
But having been a part of the education systems in Pennsylvania, and New York, I do not know exactly the requirements, but here is what the official NY site stated: https://www.health.ny.gov/publications/2370.pdf
Diphtheria and Tetanus toxoid-containing vaccine and Pertussis vaccine (DTaP/DTP/Tdap/Td)2 ....4 doses
Tetanus and Diphtheria toxoid-containing vaccine and Pertussis vaccine adolescent booster (Tdap)3 not required
Polio vaccine (IPV/OPV)4 ..Depends on age 3-4 doses
Measles, Mumps and Rubella vaccine (MMR)5 1to 2 doses
Hepatitis B vaccine6 1 dose
Varicella (Chickenpox) vaccine 1 to 2 doses
Meningococcal conjugate vaccine (MenACWY) not required
Haemophilus influenzae type b conjugate vaccine (Hib) 1 to 4 doses prior to kindergarten, not required after first grade
Pneumococcal Conjugate vaccine (PCV)1 1 to 4 doses before kindergarten, not required afterwards
I am sure that if you did a web search as I did on "vaccines requirements for school aged children in YOUR STATE, i believe that you will find a similar list.
My point in disagreeing with one or two anti-vaxers here is that long before Covid 19 came around, my son, my daughter and me tested positive for tuberculosis. Our church was working with Hmong people from the rural high lands of Laos who were believers, and became refugees living in southwest Philadelphia
Because they were subsistence farmers, they had no knowledge of basic hygiene and health standards. Part of my role in helping them was to drive them home after church services. So, in a 15-passenger van, I packed up to 30 coughing children. Of course, the air was unhealthy with droplets from contaminated coughing children, and all three of were infected.
Because I was over the cut-off age for the curing medication, only my children got it. The vaccine for TB was available when I was born, but because TB is rare in the USA, I did not get that vaccine as a child.
That is my reason for taking the position I take on the Covid-19 vaccine. For several medical conditions I have, I am in the "extreme risk" category. Both my primary care physician and the specialist because treats my incurable disease and monitors it said if I want to live longer, said "Get the vaccines."
Some the anti vaxers advocate getting a vaccine that is used to treat worms in bovines as a viable substitute for the Covid-19 (Ivermectin) and I find that to be a laughable oxymoron situation because there is no science behind it.
Maybe if some of the "cow dewormer" could present peer-reviewed material on the efficacy of Ivermectin I might consider reading it. As It stands now, that proposed usage is simply medical quackery