E2E Improvements: Update plugins/jetpack E2E tests

[manzoorwanijk]

Following #40869, we should update the E2E tests in Jetpack plugin

Breakdown

• tests/e2e/helpers/*
• tests/e2e/specs/connection
• tests/e2e/specs/editor
• tests/e2e/specs/post-connection
• tests/e2e/specs/pre-connection
• tests/e2e/specs/sync
• tests/e2e/specs/update

[github-actions]

OpenAI suggested the following labels for this issue:

• [Feature Group] Other Infrastructure: The issue pertains to improvements in the testing infrastructure for the Jetpack plugin, which falls under miscellaneous infrastructure features.
• [Feature] Jetpack: Since the issue is specifically about updating E2E tests for the Jetpack plugin, this label is relevant to indicate that it's related to Jetpack functionality.
• [Feature] Performance History: The E2E tests typically relate to ensuring that features perform correctly, and updating them can impact performance metrics.

[github-actions]

This issue could use some more labels, to help prioritize and categorize our work. Could you please add at least a [Type], a [Feature], and a [Pri] label?