updated the example of api-routes to utilize the App Router

[Sam-Phillemon9493]

This PR updates the api-routes example to use the App Router. Here are the changes that have been made:

• Renamed the "pages" folder to the "app" folder.
• Updated the routing for /, & /person/[id] files to align with the App Router.
• Added the layout.tsx file as part of the App Router.
• Updated the package.json file.

CC: @samcx

[ijjk]

Allow CI Workflow Run

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[samcx]

@Sam-Phillemon9493 Let's rename examples/api-routes to examples/route-handlers, since technically we call this Route Handlers with App Router.

[Sam-Phillemon9493]

@Sam-Phillemon9493 Let's rename examples/api-routes to examples/route-handlers, since technically we call this Route Handlers with App Router.

@samcx renamed the example.

[samcx]

@Sam-Phillemon9493 Make sure to always work with the latest canary, or you may run into issues. Specifically, this change → #68534 caused this to have a merge conflict.

[Sam-Phillemon9493]

@Sam-Phillemon9493 Make sure to always work with the latest canary, or you may run into issues. Specifically, this change → #68534 caused this to have a merge conflict.

Thank You, @samcx. Got it, I’ll use the latest canary to avoid issues. Thanks for pointing out the conflict with #68534!