Update CHANGELOGs for projects using OTelLatestStableVer.

Author: opentelemetrybot

src/OpenTelemetry.Exporter.Prometheus.AspNetCore/CHANGELOG.md

@@ -7,6 +7,9 @@ Notes](../../RELEASENOTES.md).
 
 ## Unreleased
 
+* Updated OpenTelemetry core component version(s) to `1.13.0`.
+  ([#6552](https://github.com/open-telemetry/opentelemetry-dotnet/pull/1.13.0))
+
 ## 1.12.0-beta.1
 
 Released 2025-May-06

src/OpenTelemetry.Exporter.Prometheus.HttpListener/CHANGELOG.md

@@ -7,6 +7,9 @@ Notes](../../RELEASENOTES.md).
 
 ## Unreleased
 
+* Updated OpenTelemetry core component version(s) to `1.13.0`.
+  ([#6552](https://github.com/open-telemetry/opentelemetry-dotnet/pull/1.13.0))
+
 ## 1.12.0-beta.1
 
 Released 2025-May-06

src/OpenTelemetry.Shims.OpenTracing/CHANGELOG.md

@@ -6,6 +6,9 @@ Notes](../../RELEASENOTES.md).
 
 ## Unreleased
 
+* Updated OpenTelemetry core component version(s) to `1.13.0`.
+  ([#6552](https://github.com/open-telemetry/opentelemetry-dotnet/pull/1.13.0))
+
 ## 1.12.0-beta.1
 
 Released 2025-May-06