feat(docs): added AskAI function for docsearch (#DS-4628)

[artembelik]

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[Copilot]

Pull request overview

This PR updates the docs site’s Algolia DocSearch integration to v4 and enables the new Ask AI experience, aligning the docs search UI/config with the newer @docsearch/js API.

Changes:

• Bumped @docsearch/css / @docsearch/js from ^3.9.0 to ^4.6.3.
• Reworked the docs DocsDocsearchDirective to support v4 options (multi-index config, theme switching via ThemeService, RU translations, and askAi configuration).
• Simplified DocSearch styling overrides in _docsearch.scss to mostly rely on upstream DocSearch styles.

Reviewed changes

Copilot reviewed 4 out of 5 changed files in this pull request and generated 1 comment.

Show a summary per file

File	Description
yarn.lock	Updates lockfile to reflect DocSearch v4 dependency graph.
package.json	Bumps DocSearch JS/CSS dependencies to ^4.6.3.
apps/docs/src/styles/_docsearch.scss	Removes most custom DocSearch overrides; keeps z-index adjustment.
apps/docs/src/app/components/docsearch/docsearch.directive.ts	Migrates DocSearch initialization to v4 config and enables Ask AI + theme/locale handling.
apps/docs/src/app/components/docsearch/docsearch.directive.spec.ts	Removes DocSearch directive unit tests.

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[NikGurev]

Из apps/docs/src/app/components/navbar/navbar.scss тоже надо убрать кастомизацию стилей, иначе на мобилке некорректно отображается