[ci/es] Use default template priorities

[yurishkuro]

Which problem is this PR solving?

• Follow-up to Support Elasticsearch 8.x #4829 where the integration test is using non-default template priorities

Description of the changes

• Remove priorities overrides, it must work with defaults because this is how most users would run.

How was this change tested?

• CI should succeed

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (05332d7) 96.45% compared to head (e4502f5) 96.44%.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #4962      +/-   ##
==========================================
- Coverage   96.45%   96.44%   -0.02%     
==========================================
  Files         304      304              
  Lines       18092    18092              
==========================================
- Hits        17450    17448       -2     
- Misses        509      511       +2     
  Partials      133      133              

Flag	Coverage Δ
unittests	96.44% <ø> (-0.02%)	⬇️

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