chore(build): update make-release.yml to remove redundant publish step

[dreamorosi]

Description of your changes

In #1066 we decoupled the release to NPM & docs publishing processes. With that change the release of a new Powertools for TypeScript version works as follows:

• Manually trigger the "Make release" workflow - this will run unit tests, increase the version of the packages in the repo, create a new git tag, & publish the packages to NPM with increased version
• Manually make a release via GitHub releases UI - this will be using the tag created earlier, and once published it will trigger the other workflow that publishes the docs using the correct version number

With this PR I'm removing a leftover step from the "Make Release" workflow that was also publishing the docs.

How to verify this change

Run the "Make release" workflow.

Related issues, RFCs

Issue number: #1063

PR status

Is this ready for review?: YES
Is it a breaking change?: NO

Checklist

• My changes meet the tenets criteria
• I have performed a self-review of my own code
• My changes generate no new warnings
• The code coverage hasn't decreased
• New and existing unit tests pass locally and in Github Actions
• Any dependent changes have been merged and published in downstream module
• The PR title follows the conventional commit semantics

Breaking change checklist

• I have documented the migration process
• I have added, implemented necessary warnings (if it can live side by side)

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[heitorlessa]

looking into later in the afternoon or first thing tomorrow morning. @dreamorosi pinged sharing that it can wait until everyone else is back