fix: update BetterBugs recording links to use new package URLs (#41667)

## Description
> [!TIP]  
> _Add a TL;DR when the description is longer than 500 words or
extremely technical (helps the content, marketing, and DevRel team)._
>
> _Please also include relevant motivation and context. List any
dependencies that are required for this change. Add links to Notion,
Figma or any other documents that might be relevant to the PR._

- Changed the script source URLs for BetterBugs recording links from
`cdn.betterbugs.io` to `pkg.betterbugs.io`.
- Updated the comment to include a direct link to BetterBugs
documentation for workspace settings related to recording links.

Fixes #`Issue Number`  
_or_  
Fixes `Issue URL`
> [!WARNING]  
> _If no issue exists, please create an issue first, and check with the
maintainers if the issue is valid._

## Automation

/ok-to-test tags="@tag.Sanity"

### :mag: Cypress test results
<!-- This is an auto-generated comment: Cypress test results  -->
> [!TIP]
> 🟢 🟢 🟢 All cypress tests have passed! 🎉 🎉 🎉
> Workflow run:
<https://github.com/appsmithorg/appsmith/actions/runs/23953397929>
> Commit: 44643e1ab69e396bcae93591f6c18dbd5f444a84
> <a
href="https://internal.appsmith.com/app/cypress-dashboard/rundetails-65890b3c81d7400d08fa9ee5?branch=master&workflowId=23953397929&attempt=1"
target="_blank">Cypress dashboard</a>.
> Tags: `@tag.Sanity`
> Spec:
> <hr>Fri, 03 Apr 2026 17:05:47 UTC
<!-- end of auto-generated comment: Cypress test results  -->


## Communication
Should the DevRel and Marketing teams inform users about this change?
- [ ] Yes
- [ ] No


<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

* **Chores**
* Updated BetterBugs recording-link loader to use the provider's new
hosting endpoint and adjusted how the scripts are loaded.
* Improved initialization and loading sequence to enhance stability and
reliability of the bug recording feature.
* Streamlined implementation for better maintainability and performance.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->