Create nightly documentation site audit

[jaydeluca]

Resolves #14336

Context

Let the automation begin! 🎉

The documentation site has a table listing instrumentation modules and their associated "name" that can be used to disable them. This list is maintained manually, and often is not kept up to date.

This PR

I've extended our documentation generation tooling to use the instrumentation-list.yaml in order to cross reference and audit the table in the documentation site so that we can be notified/reminded when we need to update the doc site.

This is the first step, where I would like to take this a step further to potentially automate opening PRs on the documentation site, but for now we will get a workflow notification if it fails.

Here was the output of running this before I fixed the doc site:

Jul 22, 2025 2:31:02 PM io.opentelemetry.instrumentation.docs.DocSynchronization main
SEVERE: Missing Instrumentation List (13 item(s) missing):
  - activej-http
  - alibaba-druid
  - avaje-jex
  - elasticsearch-api-client
  - java-http-server
  - opensearch-rest
  - payara
  - powerjob
  - spring-boot-actuator-autoconfigure
  - spring-cloud-aws
  - spring-cloud-gateway
  - spring-pulsar
  - spring-security-config

Resolved with this PR: open-telemetry/opentelemetry.io#7369

Related to #13468