chore(NODE-6664): use correct script_name and replacement substring

[nbbeeken]

Description

What is changing?

• Throws the error to the before hook if an error occurs
• use the correct script name
• use SCRIPT_NAME_STRING instead of NAME_STRING

Is there new documentation needed for these changes?

No

What is the motivation for this change?

Calling the this.test.error(error) function was ending the test run early without error. Running all the tests would be a nice-to-have. 🙂

Fixing issue introduced in #4355.

Double check the following

• Ran npm run check:lint script
• Self-review completed using the steps outlined here
• PR title follows the correct format: type(NODE-xxxx)[!]: description
  • Example: feat(NODE-1234)!: rewriting everything in coffeescript
• Changes are covered by tests
• New TODOs have a related JIRA ticket