[chore] Build and publish application hosted in the repository for the Golang instrumentation E2E test #5175

Job	Run time
End-to-end tests (1.19, e2e)	14m 25s
End-to-end tests (1.19, e2e-instrumentation)	16m 46s
End-to-end tests (1.19, e2e-upgrade)	13m 4s
End-to-end tests (1.19, e2e-prometheuscr)	16m 40s
End-to-end tests (1.19, e2e-autoscale)	14m 30s
End-to-end tests (1.28, e2e)	13m 36s
End-to-end tests (1.28, e2e-instrumentation)	14m 1s
End-to-end tests (1.28, e2e-upgrade)	12m 31s
End-to-end tests (1.28, e2e-prometheuscr)	12m 40s
End-to-end tests (1.28, e2e-autoscale)	14m 37s
e2e-tests-check	1s
	2h 22m 51s

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