feat: separate experimental app router package

[theodesp]

Tasks

• I have signed a Contributor License Agreement (CLA) with WP Engine.
• If a code change, I have written testing instructions that the whole team & outside contributors can understand.
• I have written and included a comprehensive changeset to properly document the changes I've made.

Description

• Separate experimental app router package on its own folder
• Remove app-router example project from the workspace so the dependencies declared in each example should be isolated to that example and not included when installing dependencies for the packages.
• Update app-router example project dependencies.

Related Issue(s):

#1952

Testing

Screenshots

Documentation Changes

Dependant PRs

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Latest commit: e1658db

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[github-actions]

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