refactor: update blas/ext/base/dapxsumpw to follow current project conventions

[ShivamAhir]

Resolves # .

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Related Issues

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This pull request:

• resolves [RFC]: refactor blas/ext/base/dapxsumpw to follow current project conventions #1469
• fixes #

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@stdlib-js/reviewers

[Planeshifter]

Almost ready for merge; just needs updates to the manifest.json I believe. Thanks for your efforts!

[ShivamAhir]

@Planeshifter I think I understood what you wanted me to correct, and I have made the necessary adjustments, including adding the missing include and updating the dependencies in the manifest.json file. Thank you😊 for helping me identify and resolve my errors.

[Planeshifter]

Thanks for the changes!

Had to fix the indentation in the manifest file (make sure you have an .editorconfig extension for your code editor installed, then the files should be auto-formatted on save), but otherwise looks all good to me now. Will merge shortly after CI has passed.