[ci] update Kubernetes version to v1.32.13 in Makefile and improve tests stability

[moshevayner]

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 73.68%. Comparing base (512ca7e) to head (64c8538).

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #588   +/-   ##
=======================================
  Coverage   73.68%   73.68%           
=======================================
  Files          19       19           
  Lines        3036     3036           
=======================================
  Hits         2237     2237           
  Misses        538      538           
  Partials      261      261           

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