docs: update publish and vite docs

[lachlancollins]

🎯 Changes

• Mainly updates to the publish and vite docs
• Includes trusted publishing instructions

✅ Checklist

• I have followed the steps in the Contributing guide.
• I have tested this code locally with pnpm test:pr.

🚀 Release Impact

• This change affects published code, and I have generated a changeset.
• This change is docs/CI/dev-only (no release).

[changeset-bot]

⚠️ No Changeset found

Latest commit: 9b739f2

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR

[nx-cloud]

View your CI Pipeline Execution ↗ for commit 9b739f2

Command	Status	Duration	Result
nx run-many --target=build	✅ Succeeded	<1s	View ↗
nx affected --targets=test:sherif,test:docs,tes...	✅ Succeeded	<1s	View ↗

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☁️ Nx Cloud last updated this comment at 2026-01-16 21:26:31 UTC

[pkg-pr-new]

npm i https://pkg.pr.new/@tanstack/eslint-config@330

npm i https://pkg.pr.new/@tanstack/publish-config@330

npm i https://pkg.pr.new/@tanstack/typedoc-config@330

npm i https://pkg.pr.new/@tanstack/vite-config@330

commit: 9b739f2