diff --git a/aqt/archives.py b/aqt/archives.py
index 413473e..7c4dcf1 100644
--- a/aqt/archives.py
+++ b/aqt/archives.py
@@ -31,11 +31,13 @@ from aqt.exceptions import ArchiveDownloadError, ArchiveListError, ChecksumDownl
 from aqt.helper import Settings, get_hash, getUrl, ssplit
 from aqt.metadata import QtRepoProperty, Version
 
+
 @dataclass
 class UpdateXmls:
     target_folder: str
     xml_text: str
 
+
 @dataclass
 class TargetConfig:
     version: str
@@ -409,19 +411,14 @@ class QtArchives:
         if self.version >= Version("6.8.0"):
             arch = self.arch
             if self.os_name == "windows":
-                arch = self.arch.replace("win64_", "", 1) 
+                arch = self.arch.replace("win64_", "", 1)
             elif self.os_name == "linux":
                 arch = "x86_64"
             elif self.os_name == "linux_arm64":
                 arch = "arm64"
             for ext in ["qtwebengine", "qtpdf"]:
                 extensions_target_folder = posixpath.join(
-                    "online/qtsdkrepository",
-                    os_name,
-                    "extensions",
-                    ext,
-                    self._version_str(),
-                    arch
+                    "online/qtsdkrepository", os_name, "extensions", ext, self._version_str(), arch
                 )
                 extensions_xml_url = posixpath.join(extensions_target_folder, "Updates.xml")
                 extensions_xml_text = self._download_update_xml(extensions_xml_url)
diff --git a/aqt/metadata.py b/aqt/metadata.py
index 70e4fe3..f1f563e 100644
--- a/aqt/metadata.py
+++ b/aqt/metadata.py
@@ -244,7 +244,7 @@ class ArchiveId:
     def to_extension_folder(self, module, version, arch) -> str:
         extarch = arch
         if self.host == "windows":
-            extarch = arch.replace("win64_", "", 1) 
+            extarch = arch.replace("win64_", "", 1)
         elif self.host == "linux":
             extarch = "x86_64"
         elif self.host == "linux_arm64":
@@ -929,14 +929,7 @@ class MetadataFactory:
 
         # Examples: extensions.qtwebengine.680.debug_information
         #           extensions.qtwebengine.680.win64_msvc2022_64
-        ext_pattern = re.compile(
-            r"^extensions\."
-            + r"(?P<module>[^.]+)\."
-            + qt_ver_str
-            + r"\."
-            + arch
-            + r"$"
-        )
+        ext_pattern = re.compile(r"^extensions\." + r"(?P<module>[^.]+)\." + qt_ver_str + r"\." + arch + r"$")
         if version >= Version("6.8.0"):
             for ext in self.fetch_extensions():
                 ext_meta = self._fetch_extension_metadata(self.archive_id.to_extension_folder(ext, qt_ver_str, arch))