Migrate Next.js Integration Tests to E2E tests

```[tasklist]
### Tasks
- [x] Create `nextjs-13` E2E test application and add replications of the Next.js integration tests https://github.com/getsentry/sentry-javascript/pull/13154
- [x] Remove the Next.js integration tests https://github.com/getsentry/sentry-javascript/pull/13155
```