[8.13](backport #37827) Snapshot packaging stage migration

[mergify]

Proposed commit message

Beats migration to Buildkite issue: https://github.com/elastic/ingest-dev/issues/1693
Links to BK builds:

• Filebeat: https://buildkite.com/elastic/filebeat/builds?branch=oakrizan%3Afilebeat-packaging-stage-migration
• Auditbeat: https://buildkite.com/elastic/auditbeat/builds?branch=oakrizan%3Afilebeat-packaging-stage-migration
• Heartbeat: https://buildkite.com/elastic/heartbeat/builds?branch=oakrizan%3Afilebeat-packaging-stage-migration

Disabled several tests on Windows when running on BK. Related issue: https://github.com/elastic/ingest-dev/issues/3016

Checklist

• My code follows the style guidelines of this project
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• I have made corresponding change to the default configuration files
• I have added tests that prove my fix is effective or that my feature works
• I have added an entry in CHANGELOG.next.asciidoc or CHANGELOG-developer.next.asciidoc.

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This is an automatic backport of pull request #37827 done by [Mergify](https://mergify.com).

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