KAFKA-15594: Add version 3.6 to Kafka Streams system tests

[mjsax]

Needs to be cherry-picked to 3.7 branch

[mjsax]

Triggered system test run: https://jenkins.confluent.io/job/system-test-kafka-branch-builder/6021/

[mjsax]

System test run failed due to buggy test setup. New PR to fix it: #15157

[mjsax]

Merged #15157 and rebased this PR afterwards.

Re-triggered system test run: https://jenkins.confluent.io/job/system-test-kafka-branch-builder/6025/

[mjsax]

A few tests failed: streams_standby_replica_test (both runs) and multiple streams_cooperative_rebalance_upgrade_test (0.11, 1.0, 1.1, 2.2, 2.3) plus:

Module: kafkatest.tests.streams.streams_upgrade_test
Class:  StreamsUpgradeTest
Method: test_rolling_upgrade_with_2_bounces
Arguments:
{
  "from_version": "3.5.1",
  "to_version": "3.8.0-SNAPSHOT"
}

and

Module: kafkatest.tests.streams.streams_upgrade_test
Class:  StreamsUpgradeTest
Method: test_rolling_upgrade_with_2_bounces
Arguments:
{
  "from_version": "3.6.0",
  "to_version": "3.8.0-SNAPSHOT"
}

Re-triggered to check for flakiness: https://jenkins.confluent.io/job/system-test-kafka-branch-builder/6030/

[mjsax]

Other system test fixed got merged. Rebased this PR and retriggered system test run: https://jenkins.confluent.io/job/system-test-kafka-branch-builder/6037/

[mjsax]

Only streams.streams_standby_replica_test failed -- we know that it's broken and have already a PR to fix it: #15217

Not sure why Jenkins did fail though -- retriggered.

[mjsax]

trunk was broken -- rebased. Also re-triggered system tests just to be sure: https://jenkins.confluent.io/job/system-test-kafka-branch-builder/6038/

[mjsax]

On StreamsStandbyTask failed, which was fixed recently via #15217. Merging.

[mjsax]

Merged to trunk and cherry-picked to 3.7 branch.