Update VPN auth token check logic (#3585)

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Task/Issue URL:
https://app.asana.com/0/1207603085593419/1208194658564979/f
Tech Design URL:
CC:

**Description**:

This PR updates the auth token check logic.

DuckDuckGo.xcodeproj/project.pbxproj

@@ -11035,7 +11035,7 @@
 			repositoryURL = "https://github.com/DuckDuckGo/BrowserServicesKit";
 			requirement = {
 				kind = exactVersion;
-				version = 210.0.2;
+				version = 210.0.3;
 			};
 		};
 		9F8FE9472BAE50E50071E372 /* XCRemoteSwiftPackageReference "lottie-spm" */ = {

DuckDuckGo.xcodeproj/project.xcworkspace/xcshareddata/swiftpm/Package.resolved

@@ -32,8 +32,8 @@
       "kind" : "remoteSourceControl",
       "location" : "https://github.com/DuckDuckGo/BrowserServicesKit",
       "state" : {
-        "revision" : "07af4d672e003cc247e28a01b9fe3e77abaf49f9",
-        "version" : "210.0.2"
+        "revision" : "a296f015a572fdfe53a81de653efb9a6d7fc3eba",
+        "version" : "210.0.3"
       }
     },
     {