[7.x] Handle promise rejections when building artifacts (#73831)

[madirey]

Backports the following commits to 7.x:

• Handle promise rejections when building artifacts ([Security Solution][Exceptions] Handle promise rejections when building artifacts #73831)

[kibanamachine]

💚 Build Succeeded

• continuous-integration/kibana-ci/pull-request
• Commit: 424ebd6

Build metrics

✅ unchanged

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