[8.10](backport #3483) Remove override for integration test ESS region

[mergify]

This is an automatic backport of pull request #3483 done by Mergify.

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[elasticmachine]

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• Start Time: 2023-09-28T15:03:17.936+0000

• Duration: 25 min 26 sec

Test stats 🧪

Test	Results
Failed	0
Passed	6277
Skipped	55
Total	6332

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[elasticmachine]

🌐 Coverage report

Name	Metrics % (covered/total)	Diff
Packages	98.765% (80/81)	👍
Files	67.832% (194/286)	👍
Classes	66.48% (357/537)	👍
Methods	53.112% (1118/2105)	👍
Lines	38.578% (12706/32936)	👎 -0.018
Conditionals	100.0% (0/0)	💚