Running this two times (to create two individual WordPress Dockers on a host machine) will lead to a conflicting database (due to the static volume and DB name)?

I noticed that you are mounting the mysql volume and always creating a DB named "wordpress" when this DockerFile is runned. What if I decide to run multiple WordPress installations with separate Dockers on a same host?

They will confluct due to the same DB name in my opinion - "wordpress".

The easiest solution would be to randomize the DB name based on a timestamp or some other mechanism to avoid conflicting names.