deps: update dependency com.google.errorprone:error_prone_annotations to v2.35.1 (#3316)

[error-prone
v2.35.1](https://github.com/google/error-prone/releases/tag/v2.35.1)
includes protobuf-java downgrade that is needed by customers.

Author: blakeli0

Diff for: gapic-generator-java-pom-parent/pom.xml

@@ -34,7 +34,7 @@
     <protobuf.version>3.25.5</protobuf.version>
     <opentelemetry.version>1.42.1</opentelemetry.version>
     <maven.compiler.release>8</maven.compiler.release>
-    <errorprone.version>2.34.0</errorprone.version>
+    <errorprone.version>2.35.1</errorprone.version>
     <j2objc-annotations.version>3.0.0</j2objc-annotations.version>
     <threetenbp.version>1.7.0</threetenbp.version>
     <junit.version>5.11.2</junit.version>

Diff for: gax-java/dependencies.properties

@@ -63,7 +63,7 @@ maven.com_google_guava_failureaccess=com.google.guava:failureaccess:1.0.2
 maven.org_apache_commons_commons_lang3=org.apache.commons:commons-lang3:3.17.0
 maven.com_google_android_annotations=com.google.android:annotations:4.1.1.4
 maven.com_google_code_findbugs_jsr305=com.google.code.findbugs:jsr305:3.0.2
-maven.com_google_errorprone_error_prone_annotations=com.google.errorprone:error_prone_annotations:2.34.0
+maven.com_google_errorprone_error_prone_annotations=com.google.errorprone:error_prone_annotations:2.35.1
 maven.com_google_j2objc_j2objc_annotations=com.google.j2objc:j2objc-annotations:2.8
 maven.com_google_auto_value_auto_value=com.google.auto.value:auto-value:1.11.0
 maven.com_google_auto_value_auto_value_annotations=com.google.auto.value:auto-value-annotations:1.11.0

Diff for: java-shared-dependencies/third-party-dependencies/pom.xml

@@ -28,7 +28,7 @@
     <opencensus.version>0.31.1</opencensus.version>
     <findbugs.version>3.0.2</findbugs.version>
     <jackson.version>2.18.0</jackson.version>
-    <errorprone.version>2.34.0</errorprone.version>
+    <errorprone.version>2.35.1</errorprone.version>
     <codec.version>1.17.1</codec.version>
     <httpcomponents.httpcore.version>4.4.16</httpcomponents.httpcore.version>
     <httpcomponents.httpclient.version>4.5.14</httpcomponents.httpclient.version>