feat: Add CodeMie chat integration

[callmevladik]

Pull Request Template

Description

Add CodeMie chat integration:

• Add CodeMie AI chat widget
• Add CodeMie integration configuration page

Fixes #272

Type of change

• 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)

How Has This Been Tested?

Please describe the tests that you ran to verify your changes. Provide instructions so we can reproduce.

Checklist:

• I have performed a self-review of my own code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• New and existing unit tests pass locally with my changes
• Pull Request contain one commit. I squash my commits.

[callmevladik]

/recheck

[callmevladik]

/recheck