[8.10](backport #3535) Move integration test to ess staging

[mergify]

This is an automatic backport of pull request #3535 done by Mergify.

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[elasticmachine]

💚 Build Succeeded

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• Start Time: 2023-10-05T15:01:55.960+0000

• Duration: 29 min 53 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	53.086% (1118/2106)	👎 -0.025
Lines	38.584% (12710/32941)	👍 0.021
Conditionals	100.0% (0/0)	💚

[cmacknz]

>>> (linux-amd64-ubuntu-2204-teststandaloneupgrade) Failed to prepare instance: failed to extract go to /usr/local with tar: sshRunCommand: context canceled (stdout: , stderr: )
--
  | 2023-10-05 15:20:23 UTC | >>> (linux-amd64-ubuntu-2204-teststandaloneupgrade) Failed for instance linux-amd64-ubuntu-2204-teststandaloneupgrade (@ 34.41.44.44): failed to prepare instance ogc-linux-amd64-ubuntu-2204-teststandaloneupgrade-6d2b: failed to extract go to /usr/local with tar: sshRunCommand: context canceled (stdout: , stderr: )
  | 2023-10-05 15:20:23 UTC |  
  | 2023-10-05 15:20:23 UTC | Error: error running test: failed to prepare instance ogc-linux-arm64-ubuntu-2204-c5b8: failed to download go from https://go.dev/dl/go1.20.8.linux-arm64.tar.gz with curl: could not run "curl -Ls https://go.dev/dl/go1.20.8.linux-arm64.tar.gz --output go1.20.8.linux-arm64.tar.gz" though SSH: Process exited with status 28 (stdout: , stderr: )
  | 2023-10-05 15:20:23 UTC | + ACTUAL_EXIT_CODE=1

Similar to #3540

[cmacknz]

buildkite test it