[FEAT]: Publish provider in conda-forge from new Github organization

[btsibr]

Describe the need

The conda-forge distribution of terraform-provider-github stopped being created with 5.45.0 - presumably due to this repository moving from github.com/terraform-providers to github.com/integrations

https://anaconda.org/conda-forge/terraform-provider-github

Would it be possible to resume publishing there?

SDK Version

No response

API Version

No response

Relevant log output

Code of Conduct

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