feat: enhance OpenCode provider tests and UI setup

- Updated unit tests for OpenCode provider to include new authentication indicators.
- Refactored ProvidersSetupStep component by removing unnecessary UI elements for better clarity.
- Improved board background persistence tests by utilizing a setup function for initializing app state.
- Enhanced settings synchronization tests to ensure proper handling of login and app state.

These changes improve the testing framework and user interface for OpenCode integration, ensuring a smoother setup and authentication process.

apps/ui/src/components/views/setup-view/steps/providers-setup-step.tsx

@@ -1271,25 +1271,6 @@ export function ProvidersSetupStep({ onNext, onBack }: ProvidersSetupStepProps)
         </div>
       </Tabs>
 
-      <div className="flex items-center justify-center gap-4 py-2 text-sm">
-        {providers.map((provider) => (
-          <div
-            key={provider.id}
-            className={cn(
-              'flex items-center gap-1.5',
-              provider.configured ? 'text-green-500' : 'text-muted-foreground'
-            )}
-          >
-            {provider.configured ? (
-              <CheckCircle2 className="w-4 h-4" />
-            ) : (
-              <div className="w-4 h-4 rounded-full border border-current" />
-            )}
-            <span>{provider.label}</span>
-          </div>
-        ))}
-      </div>
-
       <div className="flex justify-between pt-4">
         <Button variant="ghost" onClick={onBack} className="text-muted-foreground">
           <ArrowLeft className="w-4 h-4 mr-2" />