ci: remove 3rd party license generation from release pipeline

[benelan]

Related Issue: #11640

Summary

Apparently generate-license-file installs our packages locally somewhere in order to generate the 3rd party licenses. The licenses script uses the version in package.json, so running it before publishing causes the following error, since the version doesn't exist yet:

Error: Command failed: npm install --no-workspaces
npm error code ETARGET
npm error notarget No matching version found for @esri/[email protected].
npm error notarget In most cases you or one of your dependencies are requesting
npm error notarget a package version that doesn't exist.