deps: update opentelemetry-java monorepo to v1.35.0

Author: renovate-bot

java-shared-dependencies/third-party-dependencies/pom.xml

@@ -38,7 +38,7 @@
     <checker-qual.version>3.42.0</checker-qual.version>
     <perfmark-api.version>0.27.0</perfmark-api.version>
     <j2objc-annotations.version>2.8</j2objc-annotations.version>
-    <opentelemetry.version>1.34.1</opentelemetry.version>
+    <opentelemetry.version>1.35.0</opentelemetry.version>
     <flogger.version>0.8</flogger.version>
     <arrow.version>15.0.0</arrow.version>
   </properties>