Let me reiterate. Violence is not the answer for one reason and one reason only. Once it starts and everyone joins, it will be very, very hard to stop.
edit: be
https://www.kff.org/mental-health/do-states-with-easier-acce...
"Firearms are the most lethal method of suicide attempts, and about half of suicide attempts take place within 10 minutes of the current suicide thought, so having access to firearms is a suicide risk factor. The availability of firearms has been linked to suicides in a number of peer-reviewed studies. In one such study, researchers examined the association between firearm availability and suicide while also accounting for the potential confounding influence of state-level suicidal behaviors (as measured by suicide attempts). Researchers found that higher rates of gun ownership were associated with increased suicide by firearm deaths, but not with other types of suicide. Taking a look at suicide deaths starting from the date of a handgun purchase and comparing them to people who did not purchase handguns, another study found that people who purchased handguns were more likely to die from suicide by firearm than those who did not--with men 8 times more likely and women 35 times more likely compared to non-owners."
The other break in your statistic is people who own guns and commit suicide, and people who own guns and have a family member steal them to commit suicide. The later is far more common. Which suggests that part of the issue is unrestricted access to firearms by children in the home of a gun owning parent.
Sure. But one of those reasons is "I feel very bad and I have access to a gun".
"The rate of non-firearm suicides is relatively stable across all groups, ranging from a low rate of 6.5 in states with the most firearm laws to a high of 6.9 in states with the lowest number of firearm laws. The absolute difference of 0.4 is statistically significant, but small. Non-firearm suicides remain relatively stable across groups, suggesting that other types of suicides are not more likely in areas where guns are harder to get."
This is perhaps one of the worst ways of looking at it. People kill themselves slowly by many means, including alcoholism, smoking, risky activities (reckless driving, etc.). These are grouped broadly under the term "Deaths of Despair" (see: https://pmc.ncbi.nlm.nih.gov/articles/PMC8221228/). It may be more informative to look at other countries, such as Russia, Norway and Finland, which have incredibly high rates of alocholism leading to a high rate of deaths of despair.
There are many ways to reliably kill yourself. Guns are just the quickest. A serious discussion on the topic cannot avoid this fact.