The issue I came across with running console apps in cron is that the environment variables aren't visible to cron jobs. You have to specify the environment variables up front before running your job.
However, the whole point of Docker is not to have a hardcoded values which are likely to change between environments.
You therefore need to copy the environment variables to a script when your container starts and then set up your environment as part of the cron script.
You need to modify the run_app.sh file to reference the dll of your console app and the schedule file if you want it to run on a different schedule other than once a minute.