Bump Docusaurus & other deps, update locks

Upgrade Docusaurus packages to 3.10.1 (root and docs-site) and bump several transitive/dependent packages (Algolia clients to 5.52.0, @babel packages to 7.29.3, @docsearch to 4.6.3, webpackbar to ^7.0.0, etc.). Update and regenerate package-lock.json files for root and docs-site to reflect these dependency version changes and fixes.

Author: jcputney