Is your feature request related to a problem? Please describe.
While debugging a customer issue, we realized that in some cases, we have descriptive error messages that show which query triggered a DEADLINE_EXCEEDED error.

The specific error thrown in the case that was being debugged was from here.

Describe the solution you'd like
It would be ideal if this branch could also throw an error that contains the query that was being executed.

Describe alternatives you've considered
N/A

Additional context
N/A