Backport of 'Fix flaky new_project_spec.rb by scoping within pane'

What does this MR do and why?

Fixes flaky ee/spec/features/projects/new_project_spec.rb tests by scoping form interactions within page.within('#blank-project-pane') instead of page.within('#content-body'), preventing Capybara from intermittently selecting elements from hidden panes.

Conflict resolution: The stable branch had expect(page).to have_current_path(%r{#{user.username}}, ignore_query: true) which was replaced with the fix's expect(page).not_to have_content('Create blank project') + wait_for_requests.

Related to https://gitlab.com/gitlab-org/quality/test-failure-issues/-/work_items/39604

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• This MR is backporting a bug fix, documentation update, or spec fix, previously merged in the default branch.
• The MR that fixed the bug on the default branch has been deployed to GitLab.com (not applicable for documentation or spec changes).
• The MR title is descriptive (e.g. "Backport of 'title of default branch MR'"). This is important, since the title will be copied to the patch blog post.
• Required labels have been applied to this merge request
  • severity label and bug subtype labels (if applicable)
  • If this MR fixes a bug that affects customers, the customer label has been applied.
• This MR has been approved by a maintainer (only one approval is required).
• Ensure the e2e:test-on-omnibus-ee job has succeeded, or if it has failed, investigate the failures. If you determine the failures are unrelated, you may proceed. If you need assistance investigating, reach out to a Software Engineer in Test in #s_developer_experience.

Note to the merge request author and maintainer

If you have questions about the patch release process, please:

• Refer to the patch release runbook for engineers and maintainers for guidance.
• Ask questions on the #releases Slack channel (internal only).
• Once the backport has been merged, the commit changes will be automatically deployed to a release environment that can be used for manual validation. See after merging runbook for details.