Use ReplicationFailedException instead of OpensearchException in ReplicationTarget

[dreamer-89]

Related to improvement in Segment replication, this change backports #4725 into 2.x

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: FAILURE ❌
• URL: https://build.ci.opensearch.org/job/gradle-check/9666/
• CommitID: 325d8a8
  Please examine the workflow log, locate, and copy-paste the failure(s) below, then iterate to green.
  Is the failure a flaky test unrelated to your change?

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: FAILURE ❌
• URL: https://build.ci.opensearch.org/job/gradle-check/9667/
• CommitID: 204e800
  Please examine the workflow log, locate, and copy-paste the failure(s) below, then iterate to green.
  Is the failure a flaky test unrelated to your change?

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: UNSTABLE ❕
• TEST FAILURES:

      2 org.opensearch.cluster.service.MasterServiceTests.classMethod
      1 org.opensearch.cluster.service.MasterServiceTests.testThrottlingForMultipleTaskTypes

• URL: https://build.ci.opensearch.org/job/gradle-check/9672/
• CommitID: b923712
  Please review all flaky tests that succeeded after retry and create an issue if one does not already exist to track the flaky failure.

[codecov-commenter]

Codecov Report

Merging #5955 (b923712) into 2.x (d51dd7c) will decrease coverage by 0.22%.
The diff coverage is 92.30%.

@@             Coverage Diff              @@
##                2.x    #5955      +/-   ##
============================================
- Coverage     70.48%   70.27%   -0.22%     
+ Complexity    58982    58720     -262     
============================================
  Files          4766     4766              
  Lines        282430   282437       +7     
  Branches      41129    41129              
============================================
- Hits         199080   198474     -606     
- Misses        66753    67289     +536     
- Partials      16597    16674      +77     

Impacted Files	Coverage Δ
...ch/indices/cluster/IndicesClusterStateService.java	66.23% <ø> (-2.08%)	⬇️
...arch/indices/recovery/RecoveryFailedException.java	100.00% <ø> (ø)
.../opensearch/indices/recovery/RecoveryListener.java	100.00% <ø> (ø)
...rg/opensearch/indices/recovery/RecoveryTarget.java	72.94% <ø> (ø)
...ices/replication/common/ReplicationCollection.java	74.07% <0.00%> (+0.92%)	⬆️
...org/opensearch/index/shard/IndexShardTestCase.java	94.25% <ø> (ø)
.../indices/replication/SegmentReplicationTarget.java	91.26% <100.00%> (-0.09%)	⬇️
...s/replication/SegmentReplicationTargetService.java	62.85% <100.00%> (+0.72%)	⬆️
...replication/common/ReplicationFailedException.java	100.00% <100.00%> (+87.50%)	⬆️
.../indices/replication/common/ReplicationTarget.java	77.33% <100.00%> (-6.67%)	⬇️
... and 529 more

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