[GH Actions] Remove `@carbon/web-components` from carbon-for-ibm-dotcom GH Actions

[annawen1]

Once we have @carbon/web-components migrated to Carbon core and the relevant workflows as well, we can remove from the carbon-for-ibm-dotcom GitHub Actions

• https://github.com/carbon-design-system/carbon-for-ibm-dotcom/blob/main/.github/workflows/deploy-next.yml#L13-L69
• https://github.com/carbon-design-system/carbon-for-ibm-dotcom/blob/main/.github/workflows/deploy-canary.yml#L13-L69