fix(monitoring): use otel.SetLoggerProvider

opentelemetry-go v1.47.0 deprecates go.opentelemetry.io/otel/log/global in
favour of the equivalent otel APIs; staticcheck (SA1019) fails pre-commit
on every PR since the monorepo bump (#990).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Ma8eHhW59hLAJuLzBnLvUu

go.mod

@@ -26,7 +26,6 @@ require (
 	go.opentelemetry.io/otel/exporters/otlp/otlpmetric/otlpmetrichttp v1.47.0
 	go.opentelemetry.io/otel/exporters/otlp/otlptrace/otlptracehttp v1.47.0
 	go.opentelemetry.io/otel/exporters/stdout/stdoutlog v0.23.0
-	go.opentelemetry.io/otel/log v1.47.0
 	go.opentelemetry.io/otel/sdk v1.47.0
 	go.opentelemetry.io/otel/sdk/log v1.47.0
 	go.opentelemetry.io/otel/sdk/metric v1.47.0
@@ -81,6 +80,7 @@ require (
 	github.com/wundergraph/go-arena v1.3.0 // indirect
 	go.opentelemetry.io/auto/sdk v1.2.1 // indirect
 	go.opentelemetry.io/otel/exporters/otlp/otlptrace v1.47.0 // indirect
+	go.opentelemetry.io/otel/log v1.47.0 // indirect
 	go.opentelemetry.io/otel/metric v1.47.0 // indirect
 	go.opentelemetry.io/proto/otlp v1.11.0 // indirect
 	go.uber.org/multierr v1.11.0 // indirect

monitoring/otel.go

@@ -12,7 +12,6 @@ import (
 	"go.opentelemetry.io/otel/exporters/otlp/otlpmetric/otlpmetrichttp"
 	"go.opentelemetry.io/otel/exporters/otlp/otlptrace/otlptracehttp"
 	"go.opentelemetry.io/otel/exporters/stdout/stdoutlog"
-	"go.opentelemetry.io/otel/log/global"
 	"go.opentelemetry.io/otel/propagation"
 	"go.opentelemetry.io/otel/sdk/log"
 	"go.opentelemetry.io/otel/sdk/metric"
@@ -75,7 +74,7 @@ func SetupOTelSDK(ctx context.Context, enabled bool, serviceName, buildVersion,
 	processor := log.NewSimpleProcessor(logExporter)
 	logProvider := log.NewLoggerProvider(log.WithProcessor(processor))
 
-	global.SetLoggerProvider(logProvider)
+	otel.SetLoggerProvider(logProvider)
 	shutdownFuncs = append(shutdownFuncs, logProvider.Shutdown)
 
 	exp, err := otlpmetrichttp.New(ctx)