Updating references for public name

[f5yacobucci]

Proposed changes

Make sure our references are consistent and will align with the new
repository name.

NGINX Kubernetes Gateway
and nginxinc/nginx-kubernetes-gateway

This will be a disruptive change as we update the repository name and references.

Checklist

Before creating a PR, run through this checklist and mark each as complete.

• I have read the CONTRIBUTING doc
• I have added tests that prove my fix is effective or that my feature works
• I have checked that all unit tests pass after adding my changes
• I have updated necessary documentation
• I have rebased my branch onto main
• I will ensure my PR is targeting the main branch and pulling from my branch from my own fork

[pleshakov]

Missed it :( https://github.com/nginxinc/nginx-gateway-kubernetes/blob/0c2de48eacb2f2d13b8934bc0c85eb52626e16db/deploy/manifests/nginx-gateway.yaml#L88 needs to be updated