diff --git a/modules/repository-s3/src/main/java/org/elasticsearch/repositories/s3/S3BlobContainer.java b/modules/repository-s3/src/main/java/org/elasticsearch/repositories/s3/S3BlobContainer.java
index 8d0878e811883..faa7cffb91de6 100644
--- a/modules/repository-s3/src/main/java/org/elasticsearch/repositories/s3/S3BlobContainer.java
+++ b/modules/repository-s3/src/main/java/org/elasticsearch/repositories/s3/S3BlobContainer.java
@@ -394,7 +394,7 @@ public void copyBlob(
                     SocketAccess.doPrivilegedVoid(() -> clientReference.client().copyObject(copyObjectRequest));
                 }
             }
-        } catch (final Exception e) {
+        } catch (final SdkException e) {
             if (e instanceof SdkServiceException sse && sse.statusCode() == RestStatus.NOT_FOUND.getStatus()) {
                 throw new NoSuchFileException(
                     "Copy source [" + s3SourceBlobContainer.buildKey(sourceBlobName) + "] not found: " + sse.getMessage()
@@ -660,7 +660,7 @@ private void executeMultipart(
                 SocketAccess.doPrivilegedVoid(() -> clientReference.client().completeMultipartUpload(completeMultipartUploadRequest));
             }
             cleanupOnFailureActions.clear();
-        } catch (final Exception e) {
+        } catch (final SdkException e) {
             if (e instanceof SdkServiceException sse && sse.statusCode() == RestStatus.NOT_FOUND.getStatus()) {
                 throw new NoSuchFileException(blobName, null, e.getMessage());
             }
diff --git a/muted-tests.yml b/muted-tests.yml
index 864b15fadee79..59472c6368738 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -441,9 +441,6 @@ tests:
 - class: org.elasticsearch.xpack.esql.heap_attack.HeapAttackIT
   method: testLookupExplosionNoFetch
   issue: https://github.com/elastic/elasticsearch/issues/127365
-- class: org.elasticsearch.repositories.blobstore.testkit.analyze.S3RepositoryAnalysisRestIT
-  method: testRepositoryAnalysis
-  issue: https://github.com/elastic/elasticsearch/issues/127399
 
 # Examples:
 #