I know I am getting in on this thread a little late.

I had read that when they took off, visibility was 4 miles, then
deteriorated to 1/2 mile due to fog. So they did not take off into IMC,
rather, so-so weather changed very quickly.

Yes, every pilot should read about incidents like this one. How would you
have reacted? What could have been done differently to prevent the
situation? Things to take to heart and consider.