If you're not worried about losing history, do a git checkout mybranch and then copy the directory contents to another folder. Within that folder, delete the .git folder and then:
git init; git commit -a -m "Imported from project Y"
Pull down the branch like normal and then push the branch to a new repository that you have created using git init. You would use code that looks something like:
git push url:///new/repo.git TheBranchFolder
This method also keeps all of your previous changes if that is a plus for the situation.
In order to create a new Git repository from an existing repository one would typically create a new bare repository and push one or more branches from the existing to the new repository.
The following steps illustrates this:
Create a new repository. It must be bare in order for you to push to it.
$ mkdir /path/to/new_repo
$ cd /path/to/new_repo
$ git --bare init
Note: ensure that your new repository is accessible from the existing repository. There are many ways to do this; let's assume that you have made it accessible via ssh://my_host/new_repo.
Push a branch from your existing repository. For example let's say we want to push the branch topic1 from the existing repository and name it master in the new repository.
$ cd /path/to/existing_repo
$ git push ssh://my_host/new_repo +topic1:master
This technique allows you to keep the history from the existing branch.
Note: the new repository is effectively a new remote repository. If you want to work with the new repository you must clone it. The following will clone the new repo into a local working directory called new_repo:
$ git clone ssh://my_host/new_repo
In this example, when you clone the new repository you will see that the master branch is a copy of the topic1 branch of the old repository.
I don't know my answer still helps or not but this is another way to create a new repository using an existing one.
step 1: clone the existing repo.
step 2: delete the .git folder in cloned repo folder
step 3: create a new repo in git.
step 4: in the cloned repo folder run git init
step 5: git add .
step 6: git remote add origin NEW_REPO/URL
step 7: git branch -M "branch_name"
step 8: git push --set-upstream origin branch_name
Our computing environment requires that git repos are created on a remote server, so git init is not a good option. I did this instead.
git clone <NEW, EMPTY REPO> new
git clone <EXISTING REPO> old
cd new
git remote add --no-tags -f old_repo ../old
git checkout -b main old_repo/main
git push origin main