Anyone else's 3 year old driving them nuts!?

Ericka • First boy arrived April 30th 2019💙 Second boy arrived April 14th 2022💙

Just need a vent session. We recently had our second baby, so I'm pretty sleep deprived. My husband works a lot so I'm home with both kids on days that my 3 yr old isn't in school (2days a week). I just feel so irritated all the time. I try the gentle parenting and distraction. But I feel like it never works for my son. He just wines over and over about something he needs. Constantly demanding stuff. Having full on meltdowns. Screaming/crying at the top of his lungs when I'm holding baby and feeding him. I'm sure it's just his way of trying to get attention and he doesn't know how to communicate his needs any other way then to demand. I feel completely drained and annoyed at the end of the day and of course that makes me feel like a terrible mom. Any other mom's going through this?