removed cookie "safeguard" + fixed for private profiles

I have removed the cookie "safeguard" (not using cookies until they are necessary) as I've come to the conclusion that it does more harm than good. There is no way to detect whether the extractor has skipped private images, that could have been possibly extracted otherwise. Also, doing this provides little to no advantages.

gallery_dl/extractor/facebook.py

@@ -30,10 +30,6 @@ class FacebookExtractor(Extractor):
         self.session.headers["Accept"] = "text/html"
         self.session.headers["Sec-Fetch-Mode"] = "navigate"
 
-        self.fb_cookies = self.session.cookies.get_dict(domain=".facebook.com")
-        if self.fb_cookies:
-            self.session.cookies.clear(domain=".facebook.com")
-
         self.fallback_retries = self.config("fallback-retries", 2)
         self.sleep_429 = self.config("sleep-429", 5)
         self.videos = self.config("videos", True)
@@ -45,8 +41,6 @@ class FacebookExtractor(Extractor):
             self.log.warning(
                 "Using the Facebook extractor for too long may result in "
                 "temporary UI bans of increasing length. "
-                "Cookies will only be used when necessary, "
-                "and you will be informed if they are being used. "
                 "\nUse at your own risk."
             )
 
@@ -166,7 +160,6 @@ class FacebookExtractor(Extractor):
         return photo
 
     def photo_page_request_wrapper(self, url, *args, **kwargs):
-        LOGIN_TXT = "You must be logged in to continue viewing images."
         LEFT_OFF_TXT = "" if url.endswith("&set=") else (
             "\nYou can use this URL to continue from "
             "where you left off (added \"&setextract\"): "
@@ -176,28 +169,11 @@ class FacebookExtractor(Extractor):
         res = self.request(url, *args, **kwargs)
 
         if res.url.startswith(self.root + "/login"):
-            used_cookies = self.session.cookies.get_dict(
-                domain=".facebook.com"
+            raise exception.AuthenticationError(
+                "You must be logged in to continue viewing images." +
+                LEFT_OFF_TXT
             )
 
-            if "datr" in self.fb_cookies and "datr" not in used_cookies:
-                self.session.cookies.set(
-                    "datr", self.fb_cookies["datr"], domain=".facebook.com"
-                )
-                res = self.photo_page_request_wrapper(url, *args, **kwargs)
-                self.log.debug(LOGIN_TXT + " Using session from now on.")
-            elif "c_user" in self.fb_cookies and "c_user" not in used_cookies:
-                self.session.cookies.set(
-                    "c_user", self.fb_cookies["c_user"], domain=".facebook.com"
-                )
-                self.session.cookies.set(
-                    "xs", self.fb_cookies["xs"], domain=".facebook.com"
-                )
-                res = self.photo_page_request_wrapper(url, *args, **kwargs)
-                self.log.info(LOGIN_TXT + " Using cookies from now on.")
-            else:
-                raise exception.AuthenticationError(LOGIN_TXT + LEFT_OFF_TXT)
-
         if '{"__dr":"CometErrorRoot.react"}' in res.text:
             raise exception.StopExtraction(
                 "You've been temporarily blocked from viewing images. "
@@ -419,15 +395,16 @@ class FacebookVideoExtractor(FacebookExtractor):
 class FacebookProfileExtractor(FacebookExtractor):
     """Base class for Facebook Profile Photos Set extractors"""
     subcategory = "profile"
-    pattern = BASE_PATTERN + r"/([^/|?]+)"
+    pattern = BASE_PATTERN + r"/(?:profile.php\?id=)?([^/|?|&]+)"
     example = "https://www.facebook.com/USERNAME"
 
     @staticmethod
     def get_profile_photos_set_id(profile_photos_page):
-        profile_photos_page_extr = text.extract_from(profile_photos_page)
-        profile_photos_page_extr('"pageItems"', '"actions_renderer"')
-        set_id = profile_photos_page_extr('set=', '"').rsplit("&", 1)[0]
-        return set_id
+        return text.extr(
+            text.extr(
+                profile_photos_page, '"pageItems"', '"actions_renderer"'
+            ), 'set=', '"'
+        ).rsplit("&", 1)[0]
 
     def items(self):
         profile_photos_url = (