Upgrade to jest-puppeteer and puppeteer package versions.

[benbowler]

Summary

Addresses issue:

• Update Puppeteer #5862

Relevant technical choices

In this PR, working from the base of the E2E refactor to a distinct folder, I'm working through puppeteer versions to see how far we can upgrade without the majority of tests failing.

It's important to note E2E tests are unreliable at best in develop at the moment, so my mark for an effective package version upgrade is the workflow running with the majority of E2E tests passing, as part of this issue (or in #8229) the E2E tests should be audited for reliability, perhaps upgrading these packages would offer more modern tools to make tests more reliable.

The most I was able to update the versions to was the following without breaking the suite:

"jest-puppeteer": "^6.2.0",
"puppeteer": "^11.0.0"

PR Author Checklist

• My code is tested and passes existing unit tests.
• My code has an appropriate set of unit tests which all pass.
• My code is backward-compatible with WordPress 5.2 and PHP 7.4.
• My code follows the WordPress coding standards.
• My code has proper inline documentation.
• I have added a QA Brief on the issue linked above.
• I have signed the Contributor License Agreement (see https://cla.developers.google.com/).

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Code Reviewer Checklist

• Run the code.
• Ensure the acceptance criteria are satisfied.
• Reassess the implementation with the IB.
• Ensure no unrelated changes are included.
• Ensure CI checks pass.
• Check Storybook where applicable.
• Ensure there is a QA Brief.
• Ensure there are no unexpected significant changes to file sizes.

Merge Reviewer Checklist

• Ensure the PR has the correct target branch.
• Double-check that the PR is okay to be merged.
• Ensure the corresponding issue has a ZenHub release assigned.
• Add a changelog message to the issue.

[github-actions]

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