Bump newrelic_rpm from 9.13.0 to 9.16.1

Bumps [newrelic_rpm](https://github.com/newrelic/newrelic-ruby-agent) from 9.13.0 to 9.16.1.
- [Release notes](https://github.com/newrelic/newrelic-ruby-agent/releases)
- [Changelog](https://github.com/newrelic/newrelic-ruby-agent/blob/dev/CHANGELOG.md)
- [Commits](newrelic/newrelic-ruby-agent@9.13.0...9.16.1)

---
updated-dependencies:
- dependency-name: newrelic_rpm
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>

Gemfile

@@ -22,7 +22,7 @@ gem 'flipper-ui', '~> 1.3.2'
 gem 'jbuilder', '~> 2.13'
 gem 'jsbundling-rails', '~> 1.3'
 gem 'lograge', '~> 0.14'
-gem 'newrelic_rpm', '~> 9.13'
+gem 'newrelic_rpm', '~> 9.16'
 gem 'oj', '~> 3.16'
 gem 'pagy', '~> 9.3'
 gem 'pg', '~> 1.5'

Gemfile.lock

@@ -363,7 +363,7 @@ GEM
       timeout
     net-smtp (0.5.0)
       net-protocol
-    newrelic_rpm (9.13.0)
+    newrelic_rpm (9.16.1)
     nio4r (2.7.4)
     nokogiri (1.16.8)
       mini_portile2 (~> 2.8.2)
@@ -643,7 +643,7 @@ DEPENDENCIES
   letter_opener (~> 1.10)
   listen (~> 3.9)
   lograge (~> 0.14)
-  newrelic_rpm (~> 9.13)
+  newrelic_rpm (~> 9.16)
   octokit (~> 9.2)
   oj (~> 3.16)
   pagy (~> 9.3)