You are introverted
Honestly this sounds more like you are an introvert than an issue with your child. I am introverted as well and I can tell you from experience that having children makes finding a balance an incredibly difficult struggle, but not impossible. Without "me" time, quiet time, and time to yourself to recharge your social meter you will eventually break and it takes a long time to recover from that.
Make sure your wife understands
Your wife should be your support system (and you hers). What I do that has helped is I talk to my wife about my introversion. She doesn't fully understand, but understands how exhausted I get being around other people and being away from home. She knows my struggles with needing to get some time to myself, time away from family, time away from kids, and time where I know someone isn't sitting there waiting for me to be done 'having alone time'. It is stressful knowing someone is waiting for you to get done relaxing so really you don't recharge at all from that alone time. She also understands the noise prevents that alone time from being 'productive recharge time' and that I get sensory overload when the kiddo has been making non-stop noise and I'm tired from the day and I've been around people all day and all the other social battery drains.
What I do that works
How this works for us is pretty simple and might work for you too.
On the weekends and 1 night during the week, have her take the kids for an hour or 2 with no expectation that you are on the hook for care.
This last bit is very important as you can't really recharge effectively if you know someone is waiting for you to be finished. An odd thing really, but I'm sure you know what I'm talking about.
For me, this is usually I go do yard work for the afternoon (I find it relaxing to be alone with my thoughts and also being productive).
During the week, this may sound silly, but go shut yourself in your room, take a drive, or take an extra long poop break and read, listen to music, look at memes...I don't care but just get some time away from all other people and noise to recharge.