Fix OAuth refresh attempt when no network available causing full logout

[peppy]

Would show "Missing password" because we don't store password, but this is due to incorrect handling of socket exceptions.

Closes #24890.

To test the network failure path:

diff --git a/osu.Game/Online/API/OAuth.cs b/osu.Game/Online/API/OAuth.cs
index 1f26ab5458..c12fbbaa61 100644
--- a/osu.Game/Online/API/OAuth.cs
+++ b/osu.Game/Online/API/OAuth.cs
@@ -120,13 +120,13 @@ internal bool AuthenticateWithRefresh(string refresh)
         private bool ensureAccessToken()
         {
             // if we already have a valid access token, let's use it.
-            if (accessTokenValid) return true;
+            // if (accessTokenValid) return true;
 
             // we want to ensure only a single authentication update is happening at once.
             lock (access_token_retrieval_lock)
             {
                 // re-check if valid, in case another request completed and revalidated our access.
-                if (accessTokenValid) return true;
+                // if (accessTokenValid) return true;
 
                 // if not, let's try using our refresh token to request a new access token.
                 if (!string.IsNullOrEmpty(Token.Value?.RefreshToken))

To test the authentication failure still clears the token:

diff --git a/osu.Game/Online/API/OAuth.cs b/osu.Game/Online/API/OAuth.cs
index 1f26ab5458..7c832be3ca 100644
--- a/osu.Game/Online/API/OAuth.cs
+++ b/osu.Game/Online/API/OAuth.cs
@@ -88,7 +88,7 @@ internal bool AuthenticateWithRefresh(string refresh)
                     Url = $@"{endpoint}/oauth/token",
                     Method = HttpMethod.Post,
                     ClientId = clientId,
-                    ClientSecret = clientSecret
+                    ClientSecret = clientSecret + "wang"
                 };
 
                 using (refreshRequest)
@@ -120,13 +120,13 @@ internal bool AuthenticateWithRefresh(string refresh)
         private bool ensureAccessToken()
         {
             // if we already have a valid access token, let's use it.
-            if (accessTokenValid) return true;
+            // if (accessTokenValid) return true;
 
             // we want to ensure only a single authentication update is happening at once.
             lock (access_token_retrieval_lock)
             {
                 // re-check if valid, in case another request completed and revalidated our access.
-                if (accessTokenValid) return true;
+                // if (accessTokenValid) return true;
 
                 // if not, let's try using our refresh token to request a new access token.
                 if (!string.IsNullOrEmpty(Token.Value?.RefreshToken))