Update identifiers to be consistent.

Add subdirectories for grouping net-related functions.

Connect client to server, save connection details.

Ensure the same reference of the server is terminated in the server,
while the client should check the context when connecting/disconnecting.

Attempt to connect client to server.

Isolate network logic to each subsystem.

Split callback logic into several functions.

Update initialization method.

Use minimal server echo example instead.