chore(): update release scripts

[liamdebeasi]

Pull request checklist

Please check if your PR fulfills the following requirements:

• Tests for the changes have been added (for bug fixes / features)
• Docs have been reviewed and added / updated if needed (for bug fixes / features)
• Build (npm run build) was run locally and any changes were pushed
• Lint (npm run lint) has passed locally and any fixes were made for failures

Pull request type

Please check the type of change your PR introduces:

• Bugfix
• Feature
• Code style update (formatting, renaming)
• Refactoring (no functional changes, no api changes)
• Build related changes
• Documentation content changes
• Other (please describe):

What is the current behavior?

After #25195 I realized that the package-lock.json files for dependencies were not being updated during the release process. For example:

• The version of the package-lock for @ionic/vue was bumped to ^6.1.3
• However, that package-lock has a reference to @ionic/core that still stays on ^6.1.2
• There is no impact to what version gets installed because of the caret (^), but the next time CI runs npm install, the package lock file will get bumped to v6.1.3 and will fail due to the changes in fix(vue): canDismiss definition is now exposed #25195.

What is the new behavior?

• This PR ensures that the release script updates the versions for Ionic dependencies during the release process.

Does this introduce a breaking change?

• Yes
• No

Other information