[cleanup] Deprecate more compat functions (#11439)

Authored by: seproDev

yt_dlp/cookies.py

@@ -25,7 +25,6 @@ from .aes import (
     aes_gcm_decrypt_and_verify_bytes,
     unpad_pkcs7,
 )
-from .compat import compat_os_name
 from .dependencies import (
     _SECRETSTORAGE_UNAVAILABLE_REASON,
     secretstorage,
@@ -343,7 +342,7 @@ def _extract_chrome_cookies(browser_name, profile, keyring, logger):
             logger.debug(f'cookie version breakdown: {counts}')
             return jar
         except PermissionError as error:
-            if compat_os_name == 'nt' and error.errno == 13:
+            if os.name == 'nt' and error.errno == 13:
                 message = 'Could not copy Chrome cookie database. See  https://github.com/yt-dlp/yt-dlp/issues/7271  for more info'
                 logger.error(message)
                 raise DownloadError(message)  # force exit