Add connectivity E2E test

[farazdagi]

What type of PR is this?

Bug fix

What does this PR do? Why is it needed?

• Occasionally, e2e tests fail with msg="Failed to find peers" error="context deadline exceeded" prefix=p2p, this PR introduces the minimal test to reproduce and fix the issue.

Which issues(s) does this PR fix?

N/A

Other notes for review

• ❗ Review after E2E refactoring #8643 is merged (as it requires functionality of that PR, and is based on it -- so until that PR is merged, delta is misleading)

[codecov]

Codecov Report

Merging #8607 (ed3afbc) into develop (5f2f53a) will increase coverage by 0.07%.
The diff coverage is 77.77%.

❗ Current head ed3afbc differs from pull request most recent head 4df6d11. Consider uploading reports for the commit 4df6d11 to get more accurate results

@@             Coverage Diff             @@
##           develop    #8607      +/-   ##
===========================================
+ Coverage    61.18%   61.25%   +0.07%     
===========================================
  Files          494      494              
  Lines        34363    34359       -4     
===========================================
+ Hits         21024    21048      +24     
+ Misses       10195    10173      -22     
+ Partials      3144     3138       -6