[Segment Replication] Verify All Integ Tests are Passing with Segment Replication Enabled

[Rishikesh1159]

Describe the bug
Currently few server module integ tests fail with segment replication enabled. These failures happen even after introducing a new segrep client (with wait until replica caught up behaviour), more details can be found in #8925. This issue will be used to track all the integ tests failures with segment replication enabled.

This issue is being tracked as a sub task and part of meta issue #6761

Sub Tasks:

• [BUG][Segment Replication] Tests on searchQueryIT failing with seqNo [0] was processed twice in generation [2], with different data when segment replication enabled. #8848
• [BUG][Segment Replication] Test QuorumGatewayIT.testQuorumRecovery fails with Segment Replication #9484
• [BUG] [Segment Replication] NO-OP recovery not attempted #7161
• [BUG] [Segment Replication] Resync failures results in removal of in-sync allocation id  #7163
• [BUG][Segment Replication] ShrinkIndexIT is failing with segment replication enabled.  #9419

Expected behavior
We should have 0 integ tests failing in server module with segment replication enabled.

Plugins
Please list all plugins currently enabled.

Screenshots
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Host/Environment (please complete the following information):

• OS: [e.g. iOS]
• Version [e.g. 22]

Additional context
Add any other context about the problem here.

[dreamer-89]

@Rishikesh1159 : I see all tests mentioned in issue descripted are resolved. Are there more test failures ? If not, can we close this issue