S3BlobContainer: Revert broadened exception handler (#126731)

Catching Exception instead of AmazonClientException in copyBlob and
executeMultipart led to failures in S3RepositoryAnalysisRestIT due to
the injected exceptions getting wrapped in IOExceptions that prevented
them from being caught and handled in BlobAnalyzeAction.

Closes #126576

Author: bcully

modules/repository-s3/src/main/java/org/elasticsearch/repositories/s3/S3BlobContainer.java

@@ -377,7 +377,7 @@ public void copyBlob(
                     SocketAccess.doPrivilegedVoid(() -> { clientReference.client().copyObject(copyRequest); });
                 }
             }
-        } catch (final Exception e) {
+        } catch (final AmazonClientException e) {
             if (e instanceof AmazonServiceException ase && ase.getStatusCode() == RestStatus.NOT_FOUND.getStatus()) {
                 throw new NoSuchFileException(
                     "Copy source [" + s3SourceBlobContainer.buildKey(sourceBlobName) + "] not found: " + ase.getMessage()
@@ -618,7 +618,7 @@ private void executeMultipart(
                 SocketAccess.doPrivilegedVoid(() -> clientReference.client().completeMultipartUpload(complRequest));
             }
             success = true;
-        } catch (final Exception e) {
+        } catch (final AmazonClientException e) {
             if (e instanceof AmazonServiceException ase && ase.getStatusCode() == RestStatus.NOT_FOUND.getStatus()) {
                 throw new NoSuchFileException(blobName, null, e.getMessage());
             }

muted-tests.yml

@@ -402,9 +402,6 @@ tests:
 - class: org.elasticsearch.xpack.esql.action.EsqlActionIT
   method: testQueryOnEmptyDataIndex
   issue: https://github.com/elastic/elasticsearch/issues/126580
-- class: org.elasticsearch.repositories.blobstore.testkit.analyze.S3RepositoryAnalysisRestIT
-  method: testRepositoryAnalysis
-  issue: https://github.com/elastic/elasticsearch/issues/126576
 - class: org.elasticsearch.xpack.ilm.TimeSeriesDataStreamsIT
   method: testShrinkActionInPolicyWithoutHotPhase
   issue: https://github.com/elastic/elasticsearch/issues/126746