[POC] Emit otel.sdk.component.shutdown event from BatchLogRecordExportProcessor and OtlpLogExporter

[cijothomas]

POC validating open-telemetry/semantic-conventions#3723 (otel.sdk.component.shutdown event) end-to-end in .NET. Cross-language companion to the Rust POC (open-telemetry/opentelemetry-rust#3552).

Emits one otel.sdk.component.shutdown event per provider instance when Shutdown() is called. All three providers are covered.

Event shape

Attribute	Value
otel.component.type	logger_provider / tracer_provider / meter_provider
otel.component.name	<type>/N (e.g. logger_provider/0)
error.type	absent on success; timeout or failed on failure
otel.component.shutdown.duration	wall-clock seconds (includes all child shutdowns)

Severity: INFO when successful, WARN when error.type present.

Scope

• LoggerProviderSdk.Shutdown(int) (src/OpenTelemetry/Logs/LoggerProviderSdk.cs)
• TracerProviderSdk.OnShutdown(int) (src/OpenTelemetry/Trace/TracerProviderSdk.cs)
• MeterProviderSdk.OnShutdown(int) (src/OpenTelemetry/Metrics/MeterProviderSdk.cs)
• All three Dispose paths route through the instrumented Shutdown/OnShutdown so the event fires on using-style disposal too.
• Uses SdkSelfObservability.EmitProviderShutdownEvent dispatching via a process-global ILogger (POC mechanism; production design would use per-provider injection).
• Three unit tests validate: event emitted on shutdown, no-op when no logger configured, at-most-one event on repeated shutdown.

Out of scope

• Per-component events (future refinement if operators need which processor/exporter failed).
• Timeout classification uses wall-clock heuristic (proper fix needs structured result propagation from children).

[codecov]

❌ 1 Tests Failed:

Tests completed	Failed	Passed	Skipped
2232	1	2231	8

View the full list of 1 ❄️ flaky test(s)

OpenTelemetry.Metrics.Tests.MeterProviderBuilderExtensionsTests::AddInstrumentationTest

Flake rate in main: 100.00% (Passed 0 times, Failed 1 times)

Stack Traces | 0.0047s run time

at OpenTelemetry.Metrics.Tests.MeterProviderBuilderExtensionsTests.AddInstrumentationTest() in C:\a\opentelemetry-dotnet\opentelemetry-dotnet\test\OpenTelemetry.Tests\Metrics\MeterProviderBuilderExtensionsTests.cs:line 104
   at System.RuntimeMethodHandle.InvokeMethod(Object target, Void** arguments, Signature sig, Boolean isConstructor)
   at System.Reflection.MethodBaseInvoker.InvokeWithNoArgs(Object obj, BindingFlags invokeAttr)

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