AITAH for telling someone’s kid to be careful?

I 33(F) took my kids 4(M) and 1.5(M) to a McDonald’s play place. There were was one family there mid 20s(F) 7(M) and 8(M). Now my son is overly friendly and the first thing he does is go to 8(f) and say “thats my mom” Ì told him. “Hey that’s weird say hi first at least” he does and they talk a bit before they start playing. Hide and seek, Tag, and just climbing inside the play place. 7(m) attempts to play with them and his mom tells him “no, sit down here where I can see you” 8(f) later starts playing with another kid her age and I tell my son to leave her alone a bit and play with his brother. The 8(f) mom tells he she can’t play tag and she goes back to her phone. While 7(m) is just sitting across from her. The other kid leaves. So 8(f) goes and sits with mom and “tags” out playing and 7(m) plays instead. My son 4(m) gets close to her while she’s sitting to get her to play. I tell him “Hey space 4(m) ! You’re being a space invader” he gives her some space and does coax her to play. 8(f), 7(m) and my boys are running around and playing. Chasing each other through the slide and 1.5(m) decides he wants to climb up and go down the slide while they are gone outside the playground. The siblings 7(m) and 8(f) tickle each other and my son 4(m) tries to join in the tickle fight. I tell him “no don’t do that personal space” he stops and goes to play with just 8(f). Then 7(m) appears to pet 1.5(m) a bit too hard and he starts to cry. I say out loud “Be careful with the baby please” the mom glares at me through her sunglasses and says “what?” I tell her “it’s okay he just pet the babies head a bit and scared him and he didn’t like being touched” she gets up and says “nuh uh thats my kid and we have boundaries. Your kid has been touching my kid the whole time” she continues her rant and she makes her kids get their shoes on and start to leave. 8(f) looks at my son 4(m) smiling and tags him really quick. And then her mom, who’s already out the door yells at her and says “apologize!” 8(f) says it all sad and looks at me before she goes. My son 4(m) asks me “what happen why they leaving?” I tell him their mommy said it was time to leave because he wasn’t giving them enough personal space. And I tell him be more careful next.

AITAH or just an idiot for not stopping my kid from playing with them in the first place and should have kept my mouth shut?