Changing DSN breaks current AWS Lambda integration

[antonpirker]

Is there an existing issue for this?

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

How do you use Sentry?

Sentry Saas (sentry.io)

Which package are you using?

@sentry/serverless

SDK Version

V7

Framework Version

No response

Link to Sentry event

No response

Steps to Reproduce

See description here: #5126

Expected Result

The AWS Lambda integration should work in V7 out of the box. Right now it sends errors to localhost:3000 and not sentry.io

Actual Result

Send Sentry data directly to sentry.io (not localhost:3000)