Steps to publish my GO package on Github

Hi, I wish to start publishing my own GO packages on Github, but with some hoops I have to jump through:
- The code is first versioned on a local network gitea server, which is not totally, totally 100% compatible with github
- Once the gitea repo established, I need to create a new github endpoint : `git remote add publicRepo github.com/$MYUSER/$MYREPO.git`

So this means that I cannot use the UI to pull/push the code to/from gitea and github. It's a requirement we can accept here. It is done the old fashioned way : git push && git push publicRepo

Now, it worked fine for a whole software, but I try now to publish shared packages that everyone could download, and wonder about the actual steps to create the whole thing and get it published + usable from anywhere, anytime.

This, I've tried, so far, and failed at, would you mind helping me with the wrong/missing steps ?
The package is named, for now customErrorsExtender

1. created my gitea repo on https://gitea.mynetwork.com:myport/publicGoCode/customErrorsExtender
2. created an empty github.com repo : https://github.com/myuser/customErrorsExtender/
3. created a new GOLAND project called customErrorsExtender in /repos/publicGoCode/
4. in /repos/publicGoCode/customErrorsExtender : mkdir customErrorsExtender, where my package source code will reside, with, obviously having all files starting with “package customErrorsExtender”
5. from /repos/publicGoCode/customErrorsExtender: rm -f go.mod; go mod init github.com/myuser/customErrorsExtender

From there the steps are not that clear (that is, not to me):

Once the code uploaded (pushed) both on gitea and github, I need to publish it as a release as well ? If true, I've no github actions or CICD pipeline (yet) dealing with github, and it means manual ops all around for the time being. I understand that it'd make sense so every potential user uses the latest and greatest version, of course, but a minor drag for me right now.

So, if any steps are missing or wrong, would you mind letting me know ?

Also, related:
My package rootdir is /repos/publicGoCode/customErrorsExtender. The package is named customErrorsExtender, as you know; do I need to create a subdir CustomErrorsExtender and put the code there, or should everything be in the rootdir ?