EEA: Rely solely on entity instances table

[JAORMX]

Summary

This re-attempts #4287, but now actually drops the indexes which prevented parallel execution of entities.

Related-to: #4169

Change Type

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• Bug fix (resolves an issue without affecting existing features)
• Feature (adds new functionality without breaking changes)
• Breaking change (may impact existing functionalities or require documentation updates)
• Documentation (updates or additions to documentation)
• Refactoring or test improvements (no bug fixes or new functionality)

Testing

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Review Checklist:

• Reviewed my own code for quality and clarity.
• Added comments to complex or tricky code sections.
• Updated any affected documentation.
• Included tests that validate the fix or feature.
• Checked that related changes are merged.

[coveralls]

coverage: 53.776% (-0.02%) from 53.796%
when pulling c05b07b on revert-revert-eea
into 805b55a on main.