eslint-plugin: Make sure to publish dist files

[jpwilliams]

Summary

Fixes @inngest/eslint-plugin not publishing dist files during release 😅

Checklist

• [ ] Added a docs PR that references this PR N/A
• [ ] Added unit/integration tests N/A
• [x] Added changesets if applicable

[changeset-bot[bot]]

🦋 Changeset detected

Latest commit: 04c43238f1372ac3b0f26d9fd9b724377a52502e

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 1 package

| Name | Type | | ---------------------- | ----- | | @inngest/eslint-plugin | Patch |

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