### Is there an existing issue for this?

- [X] I have searched the existing issues

### Current Behavior

When a transcription job is scheduled I specify `OutputBucketName` and `OutputKey` to store the transcription, when the transcription job is complete, I check if output transcription is put there. Unfortunately, it's not there.

### Expected Behavior

Output transcription should be stored on S3 at the given bucket and key.

### How are you starting LocalStack?

Custom (please describe below)

### Steps To Reproduce

Using Test Containers 

Reproduced in project:  https://github.com/kkocel/local-stack-transcribe-repro


### Environment

```markdown
- OS: macOS
- LocalStack: latest
```


### Anything else?

_No response_
import datetime
import json
import logging
import os
import threading
import wave
from pathlib import Path
from typing import Tuple
from zipfile import ZipFile
from localstack import config
from localstack.aws.api import RequestContext, handler
from localstack.aws.api.transcribe import (