Avoid creating new tag and push the new code with the existing tag

Hi,
I have performed mvn release:prepare release:perform.
And a tag got created. I am using git and phabricator
Now i had to make some minor changes to the code. But dont want to create another tag unnecessarily.
So can i make the earlier tag point to the new code ?
The tag is important because that is how the build system in our office works...
But each time i make some change for deployment i dont want to create a new tag. and somehow make the older tag point to new code

Please suggest how to do it. and any alternatives ?

Thanks