feat(home): implement count for home auth dispatch requests and enable usage statistics

- Added `count` attribute to `homeAuthCount` requests to improve home message batching.
- Enabled usage statistics for home mode by default and added config-level enforcement.
- Adjusted failure logging to include detailed metadata in `UsageReporter`.
- Updated multiple executors to pass error details to `PublishFailure` for better debugging.
- Enhanced unit tests to validate `count` behavior and usage statistics enforcement across components.

cmd/server/main.go

@@ -290,6 +290,7 @@ func main() {
 		}
 		parsed.Home = homeCfg
 		parsed.Port = 8317 // Default to 8317 for home mode, can be overridden by home config
+		parsed.UsageStatisticsEnabled = true
 		cfg = parsed
 
 		// Keep a non-empty config path for downstream components (log paths, management assets, etc),