To answer the question; Do video games affect your child's behavior? The answer is yes. But the article used to back up this claim, linked at the bottom, doesn't do the best job of reinforcing this claim. This is because the article summarizes the data collected by JAMA Pediatrics, which was a study analyzing the effect of video games engineered to help individuals suffering from depression, ADHD, or anxiety. It's important to note that the data that this article references from JAMA Pediatrics is data collected from "A systematic search of PubMed, PsycINFO, and Web of Science [that] was conducted for RCTs published before March 20, 2024" (JAMA 2024). Another important note is that in the results tab from the JAMA article, while targeted video games did have an effect on children the effect was very modest. As mentioned above the medical press article references the data from the JAMA article which to the best of my knowledge is the first source of this data. This claim is exaggerated or misleading because while there is data that video games affect children's behavior, the article referenced and the data referenced were for a study done on children with depression, anxiety, and ADHD.
Sources:
https://jamanetwork.com/journals/jamapediatrics/fullarticle/2823863?guestAccessKey=1f1fa6c6-6435-4cca-9de7-19ff579f0a77