Sentry not capturing third party widget crash

I installed the Drift widget on my website, as per instructions.

However, when it crashes, the error doesn’t get captured by Sentry.

It is not filtered out in Sentry, nothing gets sent to Sentry from the front-end.

I tried to search for a solution, but surprisingly it seems people usually have the opposite problem: they are seeing errors from the Intercom widget in their own Sentry dashboard.

Any idea what might be wrong?