Fix Integration Test Log Dumping For Storage Backends

[mahadzaryab1]

Which problem is this PR solving?

Resolves #5912

Description of the changes

• Removed the log dumps in the CI workflow files and replace them with log dumps in the script files

How was this change tested?

• I ran the scripts locally and deliberately made them fail to ensure that the logs get printed. I also checked that the logs don't get printed when the scripts pass.

Checklist

• I have read https://github.com/jaegertracing/jaeger/blob/master/CONTRIBUTING_GUIDELINES.md
• I have signed all commits
• I have added unit tests for the new functionality
• I have run lint and test steps successfully
  • for jaeger: make lint test
  • for jaeger-ui: yarn lint and yarn test

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 96.82%. Comparing base (edc3152) to head (6cd6e20).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5915      +/-   ##
==========================================
+ Coverage   96.81%   96.82%   +0.01%     
==========================================
  Files         342      342              
  Lines       16525    16525              
==========================================
+ Hits        15998    16000       +2     
+ Misses        340      339       -1     
+ Partials      187      186       -1     

Flag	Coverage Δ
badger_v1	8.05% <ø> (ø)
badger_v2	1.82% <ø> (ø)
cassandra-3.x-v1	16.62% <ø> (ø)
cassandra-3.x-v2	1.75% <ø> (ø)
cassandra-4.x-v1	16.62% <ø> (ø)
cassandra-4.x-v2	1.75% <ø> (ø)
elasticsearch-6.x-v1	18.78% <ø> (ø)
elasticsearch-7.x-v1	18.85% <ø> (ø)
elasticsearch-8.x-v1	19.04% <ø> (ø)
elasticsearch-8.x-v2	1.81% <ø> (ø)
grpc_v1	9.49% <ø> (+0.01%)	⬆️
grpc_v2	7.16% <ø> (ø)
kafka-v1	9.74% <ø> (ø)
kafka-v2	1.82% <ø> (ø)
memory_v2	1.81% <ø> (-0.02%)	⬇️
opensearch-1.x-v1	18.89% <ø> (-0.02%)	⬇️
opensearch-2.x-v1	18.89% <ø> (-0.02%)	⬇️
opensearch-2.x-v2	1.81% <ø> (ø)
tailsampling-processor	0.46% <ø> (ø)
unittests	95.30% <ø> (+0.01%)	⬆️

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[yurishkuro]

Thanks!