[Issue] Base price storage website price mode

[m2-assistant]

This issue is automatically created based on existing pull request: #30126: Base price storage website price mode

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Fix V1/products/base-prices endpoint to update prices for Catalog Price Mode - Website

Description (*)

V1/products/base-prices endpoint does not work with Catalog Price Mode - Website
Function was added to affect prices for all store views inside changed website

Related Pull Requests

Fixed Issues (if relevant)

1. Fixes magento/magento2#<issue_number>

Manual testing scenarios (*)

1. ...
2. ...

Questions or comments

Contribution checklist (*)

• Pull request has a meaningful description of its purpose
• All commits are accompanied by meaningful commit messages
• All new or changed code is covered with unit/integration tests (if applicable)
• All automated tests passed successfully (all builds are green)