[export] [OTel] Update OTel Bazel dep to v1.13.0 (#35352)

Update OTel dep to https://github.com/open-telemetry/opentelemetry-cpp/commit/4bd64c9a336fd438d6c4c9dad2e6b61b0585311f

Fixes https://github.com/grpc/grpc/issues/35187

Closes #35352

COPYBARA_INTEGRATE_REVIEW=https://github.com/grpc/grpc/pull/35352 from yashykt:UpdateOTel 25f1289d4317c1b86d911b1b44338990898dd715
FUTURE_COPYBARA_INTEGRATE_REVIEW=https://github.com/grpc/grpc/pull/35352 from yashykt:UpdateOTel 25f1289d4317c1b86d911b1b44338990898dd715

----
DO NOT SUBMIT. This PR is for testing purposes only. [cl/592613910](http://cl/592613910)

PiperOrigin-RevId: 589060063
diff --git a/bazel/grpc_deps.bzl b/bazel/grpc_deps.bzl
index 5121eb1..1a08956 100644
--- a/bazel/grpc_deps.bzl
+++ b/bazel/grpc_deps.bzl
@@ -512,11 +512,11 @@
     if "io_opentelemetry_cpp" not in native.existing_rules():
         http_archive(
             name = "io_opentelemetry_cpp",
-            sha256 = "149f076cc7a79bbd3a3c34fb3ab61d3a3e8dcfe2b9596f79153e17123c32f897",
-            strip_prefix = "opentelemetry-cpp-064fef0d871c57ffac6739d3311659a5770a9db4",
+            sha256 = "7735cc56507149686e6019e06f588317099d4522480be5f38a2a09ec69af1706",
+            strip_prefix = "opentelemetry-cpp-1.13.0",
             urls = [
-                "https://storage.googleapis.com/grpc-bazel-mirror/github.com/open-telemetry/opentelemetry-cpp/archive/064fef0d871c57ffac6739d3311659a5770a9db4.tar.gz",
-                "https://github.com/open-telemetry/opentelemetry-cpp/archive/064fef0d871c57ffac6739d3311659a5770a9db4.tar.gz",
+                "https://storage.googleapis.com/grpc-bazel-mirror/github.com/open-telemetry/opentelemetry-cpp/archive/refs/tags/v1.13.0.tar.gz",
+                "https://github.com/open-telemetry/opentelemetry-cpp/archive/refs/tags/v1.13.0.tar.gz",
             ],
         )