BUG: Preserve sys.path during Slicer module discovery

This fixes a regression introduced in fa915a0 ("BUG: Fix improper Python
initialization causing inconsistent interpreter state", 2025-07-17) in which
calling `_PyInterpreterState_SetConfig` allowed to update the the argv values
associated with the Python config but with the unintended side effect of resetting
the `config.module_search_paths`. This commit ensures the `sys.path` updated
during module discovery and prior calling `qSlicerCoreApplication::handleCommandLineArguments`
where the config is "reinitialized" is restored.

Here are the steps:
- Captures the initial `sys.path` before applying configuration.
- Restores the exact `sys.path` after configuration is applied.
- Ensures modifications to `sys.path` by modules are preserved.

Notes:
- Setting `config.module_search_paths_set=1` alone is insufficient because
  the copied config may not include runtime additions to `sys.path`.

Author: jcfr

Base/QTCore/qSlicerCoreApplication.cxx

@@ -66,6 +66,7 @@
 #ifdef Slicer_USE_PYTHONQT
 // PythonQt includes
 # include <PythonQt.h>
+# include <PythonQtConversion.h>
 #endif
 
 #ifdef Slicer_USE_PYTHONQT_WITH_OPENSSL
@@ -1263,13 +1264,38 @@ void qSlicerCoreApplication::handleCommandLineArguments()
       Py_ExitStatusException(status);
     }
 
+    // Snapshot current sys.path BEFORE applying the config
+    // Rationale: _PyInterpreterState_SetConfig will replace sys.path from config.
+    // We want an exact restore of the sys.path augmented during Slicer module discovery.
+    PythonQtObjectPtr sys;
+    sys.setNewRef(PyImport_ImportModule("sys"));
+    PythonQtObjectPtr sysPath;
+    if (sys)
+    {
+      sysPath.setNewRef(PyObject_GetAttrString(sys, "path"));
+    }
+    if (!sys || !sysPath)
+    {
+      PyConfig_Clear(&config);
+      PyErr_Print();
+      qSlicerCoreApplication::terminate(EXIT_FAILURE);
+    }
+    bool ok = false;
+    QStringList savedSysPath = PythonQtConv::PyObjToStringList(sysPath, true, ok);
+    Q_UNUSED(ok);
+
+    // Apply the updated config back to the running interpreter (This call *replaces*
+    // sys.path from the config's module_search_paths)
     if (_PyInterpreterState_SetConfig(&config) < 0)
     {
       PyConfig_Clear(&config);
       PyErr_Print();
       qSlicerCoreApplication::terminate(EXIT_FAILURE);
     }
 
+    // Restore sys.path exactly as it was before calling "_PyInterpreterState_SetConfig"
+    PythonQt::self()->overwriteSysPath(savedSysPath);
+
     PyConfig_Clear(&config);
 
     // Set 'sys.executable' so that Slicer can be used as a "regular" python interpreter