Here's the problem statement:
I work from home, and have five kids (*under five). My wife is an absolute rock star, but sometimes there's 💩 and she wouldn't mind a hand. Sometimes I'm just catching up on Slack and popping out to help would be welcomed. Other times I'm on a call with a client and only hospital-worthy interruptions are welcome. ...how do I best communicate to her what "status" I'm in?

What I'm thinking is:
- using my already kinda crazy time-tracking habits where I'm already tracking what "status" I'm in and use that data with a hook...
- pull that information out and put it in a web-interface (or a native app?) she can get to on her phone, and use one of my old iPhones laying around and have it displayed on the outside of my office door

She's smart and can interpret the ability for her to interrupt my status.

Is there already a solution for this that I'm missing?

Put time blocks and meetings/appointments on a calendar that she has access to.

I've tried this... it's great but unfortunately I'm too picky about my calendar's cleanliness that I don't like to have my "what I'm doing" in my calendar that much. It's a personal thing....

Make a second calendar that isn't your main calendar, have it pull in your main calendar, and then add in the time blocks there but only for things that you absolutely can't be disturbed for.