The idea started in https://github.com/badges/shields/pull/1605#issuecomment-376595800. We want "to post a comment at the end of a PR thread, which indicates whether it's been deployed yet".
There are two things we need:
I think we have all required building blocks. We need to put them together.
master + gh-pages). What's next?
Great work on this:

We need someone who can install workflow app at https://github.com/badges/shields. Who can do it?
If I click 'install' on https://github.com/apps/shields-deployment/ I seem to have permission to add the app to this repo with 'Read and write access to pull requests'. You should be able to do it as well - we have the same repo permissions.
If we add https://github.com/apps/shields-deployment and wanted to move it later, does it become problematic to move? Presumably we revoke one app and add another? If that's the case, I reckon submit a PR to add https://github.com/platan/shields-deployment-status-example/blob/master/.github/probot.js and we add https://github.com/apps/shields-deployment . If it there is a reason to move it later, we can do..
I haven't check if I can install this app in Shields ;-) Thanks.
After installing this app we can change it's description/logo and even a name. New name is immediately visible in all comments. And we can always uninstall this app. I'll create a PR with a workflow configuration.
I pressed the buttons :D

Awesome work on this! It's really exciting to see 馃槃
@platan - is the final remaining job on this to switch shields-deployment.now.sh to shields.io after the next deploy gets done?
@chris48s Additionally I would like to turn off "shields-deployment.now.sh". Therefore we should update all badges linking to the old domain: https://github.com/badges/shields/search?q=%22This+badge+displays+deployment+status%3A%22&type=Issues (switch to "shields.io").
cool. Lets leave this issue open until that last bit of work is finished then
Looks like its live on shields now:
https://img.shields.io/github/commit-status/badges/shields/gh-pages/9d90bd1f9549b3c8b59ad8338a8acd92e1e36f3c.svg?label=deploy%20status
All badges in comments created by bot (https://github.com/badges/shields/search?q=%22This+badge+displays+deployment+status%3A%22&type=Issues) are served from img.shields.io.
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I pressed the buttons :D