Do not present discover phase name as a part of test name

tmt/base.py

@@ -2714,6 +2714,7 @@ class Tree(tmt.utils.Common):
     def __init__(self,
                  *,
                  path: Optional[Path] = None,
+                 name: Optional[str] = None,
                  tree: Optional[fmf.Tree] = None,
                  fmf_context: Optional[FmfContext] = None,
                  logger: tmt.log.Logger) -> None:
@@ -2723,6 +2724,7 @@ def __init__(self,
         self.inject_logger(logger)
 
         self._path = path or Path.cwd()
+        self._name = name or ''
         self._tree = tree
         self._custom_fmf_context = fmf_context or FmfContext()
 
@@ -2885,11 +2887,12 @@ def tests(
 
         def name_filter(nodes: Iterable[fmf.Tree]) -> list[fmf.Tree]:
             """ Filter nodes based on names provided on the command line """
+            prefix = f'{self.name}::' if self.name else ''
             if not cmd_line_names:
                 return list(nodes)
             return [
                 node for node in nodes
-                if any(re.search(name, node.name) for name in cmd_line_names)]
+                if any(re.search(name, f'{prefix}{node.name}') for name in cmd_line_names)]
 
         # Append post filter to support option --enabled or --disabled
         if Test._opt('enabled'):

tmt/steps/discover/__init__.py

@@ -347,7 +347,7 @@ def go(self, force: bool = False) -> None:
                 self._tests[phase.name] = []
 
                 # Prefix test name only if multiple plugins configured
-                prefix = f'/{phase.name}' if len(self.phases()) > 1 else ''
+                prefix = f'{phase.name}::' if len(self.phases()) > 1 else ''
                 # Check discovered tests, modify test name/path
                 for test in phase.tests(enabled=True):
                     test.name = f"{prefix}{test.name}"

tmt/steps/discover/fmf.py

@@ -562,6 +562,7 @@ def do_the_discovery(self, path: Optional[Path] = None) -> None:
         tree = tmt.Tree(
             logger=self._logger,
             path=tree_path,
+            name=self.name,
             fmf_context=self.step.plan._fmf_context)
         self._tests = tree.tests(
             filters=filters,