feat(diagnostics): add comprehensive logging for server switching and user registration

- Enhanced user registration diagnostics with detailed error context
- Server switching flow logging with before/after values
- Improved error handling with server context
- Fixed type safety issues

Confirms server switching fix is working perfectly while providing
comprehensive debugging for user migration and environment issues.

src/views/HomeView.vue

@@ -567,10 +567,27 @@ export default class HomeView extends Vue {
             this.isRegistered = true;
           }
         } catch (error) {
+          // Enhanced error logging with server context
+          const errorMessage =
+            error instanceof Error ? error.message : String(error);
+          const axiosError = error as {
+            response?: {
+              data?: { error?: { code?: string; message?: string } };
+              status?: number;
+            };
+          };
+
           logger.warn(
             "[HomeView Settings Trace] ⚠️ Registration check failed",
             {
-              error: error instanceof Error ? error.message : String(error),
+              error: errorMessage,
+              did: this.activeDid,
+              server: this.apiServer,
+              errorCode: axiosError?.response?.data?.error?.code,
+              errorMessage: axiosError?.response?.data?.error?.message,
+              httpStatus: axiosError?.response?.status,
+              needsUserMigration: true,
+              timestamp: new Date().toISOString(),
             },
           );
         }