Swap staging out order to ensure that output files are moved

Apparently I'm losing some jobs to missing input files (unclear how this
is happening...), so better to ensure that the output files are staged
out first before we try cleaning up the input files

src/mammoth/job_file_management.py

@@ -420,10 +420,12 @@ def __exit__(
     ) -> None:
         """Exiting the context manager, staging out files if appropriate."""
         if self.file_stager:
-            # First, clean up the staged in files so we don't forget.
-            self._clean_up_staged_in_files_after_task()
-            # And stage out, using the provided output files if appropriate.
+            # First, stage out the output files, using the provided output files if appropriate.
+            # NOTE: We want to do this before the cleanup since we're more worried
+            #       about keeping the output files than cleaning up the input files.
             self.file_stager.stage_files_out(files_to_stage_out=self._output_files)
+            # Next, clean up the staged in files so we don't forget.
+            self._clean_up_staged_in_files_after_task()
             # And then the last bit of cleanup - removing the node work dir itself
             try:
                 self.file_stager.settings.node_work_dir.rmdir()