How do I get Azure Release Pipelines to move a .jar from a Build Pipeline job and place it on a Linux VM?
You have two basic scenarios:


you have an Azure Pipelines agent running on the target machine
you have an SSH connection to the target machine


In the first case you just cp the file to the target location (given that the user running the agent has adequate permissions).
In the second case, you use a task like Copy Files Over SSH task to copy the file. For this latter you have to setup an SSH service connection in advance.