internal/cmd/proxy.go was still hand-rolling startup/shutdown dual logging instead of using the shared helper used elsewhere in cmd. That left the proxy path inconsistent and caused the OpenTelemetry-disabled branch to skip the file-backed startup log sink.

• What changed

  • Replaced the duplicated log.Printf + logger.LogInfo pairs in runProxy() with logger.StartupInfo(...)
  • Applied the same helper to the proxy shutdown banner for a single logging path
  • Routed the OpenTelemetry disabled message through the shared helper so it is emitted to both stderr and startup logs

• Result

  • Proxy startup/shutdown logging now follows the same pattern as root.go
  • Startup log formatting is centralized in one helper instead of being repeated at each call site
  • The tracing-disabled path now logs consistently with the tracing-enabled path

• Representative change

  if tracingCfg != nil {
  	logger.StartupInfo(
  		"OpenTelemetry tracing enabled for proxy: endpoint=%s, service=%s",
  		proxyOTLPEndpoint, proxyOTLPService,
  	)
  } else {
  	logger.StartupInfo("OpenTelemetry tracing disabled for proxy (no --otlp-endpoint configured)")
  }