e2e Performance tests: update with recent Core path changes

[jeherve]

Proposed changes:

Let's update our setup following WordPress/gutenberg#48684

Other information:

• Have you written new tests for your changes, if applicable?
• Have you checked the E2E test CI results, and verified that your changes do not break them?
• Have you tested your changes on WordPress.com, if applicable (if so, you'll see a generated comment below with a script to run)?

Jetpack product discussion

• N/A

Does this pull request change what data or activity we track or use?

• No

Testing instructions:

• Let's trigger a test on this PR and see the output in CI:
  • https://github.com/Automattic/jetpack/actions/runs/4735476196/jobs/8405757747

[github-actions]

Thank you for your PR!

When contributing to Jetpack, we have a few suggestions that can help us test and review your patch:

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