Adding work into the shower would diminish it’s idea generating powers.

The reason we are able to come up with good ideas in the shower is that our mind isn’t otherwise occupied by doing anything else. We aren’t on our phones, watching TV, having a conversation, or working. Our mind has no obligations and the act of cleaning yourself doesn’t require much mental load. So our mind is free to drift and think freely about whatever it wants. We don’t have many similar times of distraction-free brain freedom in our modern lives.

Add in a task like taking a meeting, and now you’ve removed that key no thoughts head empty feature of showers that leads to the brain blast.