Integrations not working for Bun

### Is there an existing issue for this?

- [X] I have checked for existing issues [https://github.com/getsentry/sentry-javascript/issues]()
- [X] I have reviewed the documentation [https://docs.sentry.io/]()
- [X] I am using the latest SDK release [https://github.com/getsentry/sentry-javascript/releases]()

### How do you use Sentry?

Sentry Saas ([sentry.io]())

### Which SDK are you using?

@sentry/bun

### SDK Version

8.37.1

### Framework Version

*No response*

### Link to Sentry event

*No response*

### Reproduction Example/SDK Setup

Hey,
which integrations should I expect to work in bun? So far only manual instrumentation seems to be working.
Is this expected behavior? If so, a few more notes on that would be appreciated in the documentation.

Bun

```
import * as Sentry from "@sentry/bun";

// Ensure to call this before importing any other modules!
Sentry.init({
dsn: DSN,
debug: true,
// Add Performance Monitoring by setting tracesSampleRate
// Set tracesSampleRate to 1.0 to capture 100% of transactions
// We recommend adjusting this value in production
tracesSampleRate: 1.0,
});
```

```
import "./instrument.ts";
import * as Sentry from "@sentry/bun";

await Sentry.startSpan(
{
op: "test",
name: "My First Test Transaction in bun",
},
async () => {
await fetch(`https://google.com`);
},
);

const sleep = () => new Promise((res) => setTimeout(() => res("hi"), 3000));

await sleep();
throw new Error("I just crashed Bun");
`

Node
`
import * as Sentry from "@sentry/node";

// Ensure to call this before importing any other modules!
Sentry.init({
dsn: DSN,
debug: true,
// Add Performance Monitoring by setting tracesSampleRate
// Set tracesSampleRate to 1.0 to capture 100% of transactions
// We recommend adjusting this value in production
tracesSampleRate: 1.0,
});
```

### Steps to Reproduce

[https://github.com/doepnern/sentry-node-bun-comparison]()

### Expected Result

## Expected http instrumentation to work, according to docs (See result for node below)

[https://docs.sentry.io/platforms/javascript/guides/bun/configuration/integrations/http/]()


### Actual Result


## error handling is noted as not working in the npm package page, so i guess that is to be expected