Don't run the local server option if we are running in remote (#169076)

Additionally improve the conditional for device code flow.

ref #168338

extensions/github-authentication/src/github.ts

@@ -68,8 +68,7 @@ export class GitHubAuthenticationProvider implements vscode.AuthenticationProvid
 			this._logger,
 			this._telemetryReporter,
 			uriHandler,
-			// We only can use the Device Code flow when we have a full node environment because of CORS.
-			context.extension.extensionKind === vscode.ExtensionKind.Workspace || vscode.env.uiKind === vscode.UIKind.Desktop,
+			context.extension.extensionKind,
 			ghesUri);
 
 		// Contains the current state of the sessions we have available.