Have you seen this? https://travel.state.gov/content/travel/en/legal/travel-legal-considerations/us-citizenship/Acquisition-US-Citizenship-Child-Born-Abroad.html
Since you are a US citizen, have been in the US for over 5 years, and have been in the US for over 2 years after the age of 14, I think you qualify to pass on US citizenship. See the blurb about “born out of wedlock to a US citizen father and Alien mother”
A person born abroad out-of-wedlock on or after November 14, 1986 to a U.S. citizen father and an alien mother may acquire U.S. citizenship under 301(g) of the INA, as made applicable by the “new” Section 309(a) of the INA, if:
A blood relationship between the person and the father is established by clear and convincing evidence.
The father was a U.S. citizen at the time of the person’s birth;
The father (unless deceased) has agreed in writing to provide financial support for the person until he or she reaches the age of 18 years; and
While the person is under the age of 18 years:
the person is legitimated under the law of his/her residence or domicile, or
the father acknowledges paternity of the person in writing under oath, or
the paternity of the person is established by adjudication of a competent court.
If the child was born abroad out-of-wedlock on or after November 14, 1986 to a U.S. citizen father who satisfies the requirements of the “new” INA 309(a) as listed above, the child will acquire U.S. citizenship if the U.S. citizen father was physically present in the United States or one of its outlying possessions for five years prior to the person’s birth, including at least two of which were after turning age 14.
It’s certainly not a good situation in the US, but the odds are still in your favor. Let’s say your kid was in the Uvalde school district. They have over 4K kids and lost 19. That’s 1/2 of 1%, in one of the worst school shootings.
That said, firearms are the leading cause of deaths for kids in the US. They’re getting shot, but usually not by strangers.
https://www.nejm.org/doi/full/10.1056/nejmc2201761
That said, all cause mortality for kids is bad in the US compared to almost all other OECD (developed) countries except for New Zealand (which is about as poor as the USA is for older kids). https://www.healthaffairs.org/doi/10.1377/hlthaff.2017.0767