chore: add next app router ethers example

[enesozturk]

Description

Please include a brief summary of the change.

Type of change

• Chore (non-breaking change that addresses non-functional tasks, maintenance, or code quality improvements)
• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)

Associated Issues

For Linear issues: Closes APKT-xxx
For GH issues: closes #...

Showcase (Optional)

If there is a UI change include the screenshots with before and after state.
If new feature is being introduced, include the link to demo recording.

Checklist

• Code in this PR is covered by automated tests (Unit tests, E2E tests)
• My changes generate no new warnings
• I have reviewed my own code
• I have filled out all required sections
• I have tested my changes on the preview link
• Approver of this PR confirms that the changes are tested on the preview link

[changeset-bot]

⚠️ No Changeset found

Latest commit: 5dd7f03

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Name	Status	Preview	Comments	Updated (UTC)
appkit-demo	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jan 20, 2025 5:48pm
appkit-laboratory	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jan 20, 2025 5:48pm

3 Skipped Deployments

Name	Status	Preview	Comments	Updated (UTC)
appkit-vue-solana	⬜️ Ignored (Inspect)			Jan 20, 2025 5:48pm
appkit-wagmi-cdn-example	⬜️ Ignored (Inspect)			Jan 20, 2025 5:48pm
vue-wagmi-example	⬜️ Ignored (Inspect)			Jan 20, 2025 5:48pm

[github-actions]

Coverage Report

Status	Category	Percentage	Covered / Total
🔵	Lines	68.58%	19505 / 28438
🔵	Statements	68.58%	19505 / 28438
🔵	Functions	59.25%	1700 / 2869
🔵	Branches	79.81%	3441 / 4311

File Coverage

No changed files found.

Generated in workflow #9041 for commit 5dd7f03 by the Vitest Coverage Report Action