rptest: setup azurite during start_si

[nvartolomei]

rptest: setup azurite during start_si

Some tests want to call this method manually and it fails when azurite is used.

Pulled it from another branch I was working on but abandoned. Don't want
to debug it again in the future.

Backports Required

• none - not a bug fix
• none - this is a backport
• none - issue does not exist in previous branches
• none - papercut/not impactful enough to backport
• v24.3.x
• v24.2.x
• v24.1.x

Release Notes

• none

[vbotbuildovich]

Retry command for Build#61468

please wait until all jobs are finished before running the slash command

/ci-repeat 1
tests/rptest/tests/read_replica_e2e_test.py::TestReadReplicaService.test_writes_forbidden@{"cloud_storage_type":2,"partition_count":10}
tests/rptest/tests/read_replica_e2e_test.py::TestReadReplicaService.test_simple_end_to_end@{"cloud_storage_type_and_url_style":[2,"virtual_host"],"partition_count":10}

[vbotbuildovich]

CI test results

test results on build#61468

test_id	test_kind	job_url	test_status	passed
gtest_raft_rpunit.gtest_raft_rpunit	unit	https://buildkite.com/redpanda/redpanda/builds/61468#0194be4d-5d7f-4f3c-96d3-d96fb79e3f57	FLAKY	1/2
rptest.tests.compaction_recovery_test.CompactionRecoveryTest.test_index_recovery	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be92-3b0e-4090-b3ba-896bcd567578	FLAKY	1/2
rptest.tests.compaction_recovery_test.CompactionRecoveryTest.test_index_recovery	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be96-2411-4cd9-a2e7-450c5f7db677	FLAKY	1/6
rptest.tests.datalake.custom_partitioning_test.DatalakeCustomPartitioningTest.test_basic.cloud_storage_type=CloudStorageType.S3.filesystem_catalog_mode=True	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be92-3b0e-4090-b3ba-896bcd567578	FLAKY	1/2
rptest.tests.read_replica_e2e_test.TestReadReplicaService.test_simple_end_to_end.partition_count=10.cloud_storage_type_and_url_style=.CloudStorageType.ABS.2.virtual_host	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be92-3b0e-4090-b3ba-896bcd567578	FAIL	0/20
rptest.tests.read_replica_e2e_test.TestReadReplicaService.test_writes_forbidden.partition_count=10.cloud_storage_type=CloudStorageType.ABS	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be92-3b0e-474e-9673-e30e9ad7cb95	FAIL	0/20
rptest.tests.read_replica_e2e_test.TestReadReplicaService.test_writes_forbidden.partition_count=10.cloud_storage_type=CloudStorageType.ABS	ducktape	https://buildkite.com/redpanda/redpanda/builds/61468#0194be96-2411-4cd9-a2e7-450c5f7db677	FAIL	0/20