Remove the 'skip ci' annotation from the release process (#4476)

With branch protections enabled that would otherwise mean that the PR
cannot be landed since CI is now required to run. These date-update PRs
typically come at odd off-hours for Wasmtime anyway so it should be fine
to run CI.

.github/workflows/release-process.yml

@@ -119,8 +119,6 @@ jobs:
 
           git commit -a -F-<<EOF
           Update release date of Wasmtime $cur
-
-          [skip ci]
           EOF
           git push origin HEAD:ci/release-date-for-$cur