[Feature] Initial Manual Test Warmup-Related Failures

### Is there an existing issue?

- [x] I have searched the existing issues

### Description

The solution is now stable after first deployment, but the first time you ask the bot a question, it will often time out while the underlying services warm up, which is not an optimal user experience from an experimentation perspective.

We should investigate what we can do to warm up the services immediately after they're deployed.

### Steps to Reproduce

```markdown
1. Deploy the architecture.
2. Open the sample bot and ask a question.
3. Observe a timeout or a very long wait while the underlying services warm up.
```

### Expected Behavior

1. Deploy the architecture.
2. Open the sample bot and ask a question.
3. Get an answer within 15 seconds.

### Anything else?

_No response_