Generate a new post.

hugo new posts/post-name.md

If post has images then create an image directory for it.

mkdir static\image\post-name

Use Visual Studio to edit the new post's markdown file in:

content\posts\post-name.md

Run the Hugo server while editing.

hugo server

When complete quit hugo server and run hugo to generate static files.

hugo

Then add modified and new files to git, commit and push.

git add .
git commit -m "New post - Post Name"
git push

The git push to github will kick off a process on github to publish the changes.

Profit.

https://www.overleaf.com/learn/latex/Mathematical_expressions