VS Code gives me an ssh_askpass error when I try to push the changes to my Github repository using the integrated git

If depends also on your OS.

For instance, Microsoft/vscode/issue 32097 illustrates various MacOS workarounds::

In my case, it's caused by updating of mac OS, makes git lose passphrase of my ssh key.
After ssh-add ~/.ssh/id_rsa, and REINSTALL vscode, this problem is fixed.

Or:

$ brew tap theseal/ssh-askpass
$ brew install ssh-askpass
$ sudo ln -s /usr/local/bin/ssh-askpass /usr/X11R6/bin/ssh-askpass

Or:

• Download xQuartz latest version : https://www.xquartz.org
• update and upgrade home-brew via 'brew update && brew upgrade'
• link: $ sudo ln -s /usr/local/bin/ssh-askpass /usr/X11R6/bin/ssh-askpass as @stargriv described above :-)
• Start VSCode, should work now
• You still have to type in your password every time when you connect to the server; if you don't want that, create a ssh-key file.

The OP Prabesh Bhattarai references "'ssh_askpass exec(/usr/libexec/openssh/ssh-askpass) no such file or directory' error when I try to push in Git repo using VS Code"

If you use services like SSH keys, make sure you don't disable SSH Key Agent. It was a stupid mistake

If the SSH-agent is disabled, it cannot register the passphrase indeed.