Remove winget publishing job (#26654)

This PR removes the winget publishing job from the release pipeline as
suggested during the review of #26595

Follow up to:
#26595 (review)

## Have you relied on LLM-based tools in this contribution?

No

## How was the solution tested?

- [x] Covered by existing tests (this is a refactoring)

This PR removing a job from the pipeline, but here is a test run:
https://github.com/puerco/scala3/actions/runs/30490772451

Signed-off-by: Adolfo García Veytia (Puerco) <puerco@carabiner.dev>

Author: puerco

.github/workflows/publish-winget.yml

@@ -39,14 +39,6 @@ jobs:
       CONSUMER-KEY: ${{ secrets.SDKMAN_KEY }}
       CONSUMER-TOKEN: ${{ secrets.SDKMAN_TOKEN }}
 
-  publish-winget:
-    uses: ./.github/workflows/publish-winget.yml
-    if: false && github.repository == 'scala/scala3' # TODO: Requires setting up initial WinGet package (keep the repository guard when enabling)
-    with:
-      version: ${{ inputs.version }}
-    secrets:
-      DOTTYBOT-TOKEN: ${{ secrets.DOTTYBOT_WINGET_TOKEN }}
-
   compute-digest:
     runs-on: ubuntu-latest
     outputs: