fix: links to examples in examples

[emliunix]

The index pages in examples contains outdated self links to examples.

• branches: master -> main
• app-router-example falsely points to pages-router-example

Related Issue or Design Document

n/a

Checklist

• [ x] I have read the contributing guidelines and signed the CLA.
• [ x] I have referenced an issue containing the design document if my change introduces a new feature.
• [ x] I have read the security policy.
• [ x] I confirm that this pull request does not address a security vulnerability.
  If this pull request addresses a security vulnerability,
  I confirm that I got approval (please contact security@ory.sh) from the maintainers to push the changes.
• [ x] I have added tests that prove my fix is effective or that my feature works.
• [ x] I have added the necessary documentation within the code base (if appropriate).

[changeset-bot]

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Latest commit: 417ce78

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[Copilot]

Pull Request Overview

This PR updates GitHub repository URLs to reflect the branch name change from "master" to "main" and corrects the paths to point to the appropriate example directories. The changes ensure that links to the App Router and Pages Router examples are accurate and use the current default branch name.

Key changes:

• Updated branch name from "master" to "main" in GitHub URLs
• Fixed incorrect paths to ensure each example links to the correct directory

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
examples/nextjs-pages-router/pages/index.tsx	Updated GitHub URLs to use "main" branch and corrected the App Router example path
examples/nextjs-app-router/app/page.tsx	Updated GitHub URLs to use "main" branch and corrected the App Router example path

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 54.47%. Comparing base (f3fad4d) to head (417ce78).
⚠️ Report is 261 commits behind head on main.

Additional details and impacted files

@@             Coverage Diff             @@
##             main     #579       +/-   ##
===========================================
+ Coverage   42.43%   54.47%   +12.04%     
===========================================
  Files         136      159       +23     
  Lines        2008     3042     +1034     
  Branches      288      461      +173     
===========================================
+ Hits          852     1657      +805     
- Misses       1149     1323      +174     
- Partials        7       62       +55     

Components	Coverage Δ
@ory/elements-react	53.00% <ø> (+16.21%)	⬆️
@ory/nextjs	62.52% <ø> (-3.46%)	⬇️

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[vinckr]

thanks! lgtm

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Project	Deployment	Preview	Comments	Updated (UTC)
elements-nextjs-app-router	Ready	Preview	Comment	Nov 18, 2025 11:48am
elements-nextjs-pages-router	Ready	Preview	Comment	Nov 18, 2025 11:48am