I am pretty new to Tomcat and Docker - so I am probably missing a Tomcat fundamental somewhere in this question.
What I am trying to do is build a Docker container t
You are trying to copy the war file to a directory below webapps. The war file should be copied into the webapps directory.
Remove the mkdir command, and copy the war file like this:
COPY /1.0-SNAPSHOT/my-app-1.0-SNAPSHOT.war /usr/local/tomcat/webapps/myapp.war
Tomcat will extract the war if autodeploy is turned on.