(PC-16718) fix(Search): usage of algoliasearch client lite

[kopax-polyconseil]

Link to JIRA ticket: https://passculture.atlassian.net/browse/PC-16718

Description

There is an algoliasearch client lite available in ESM format.

Unfortunetaly, the typing/exports and package.json is poorly configured for the lite version but the needed features are available in it:

• search
• multipleQueries

The light client will fit for our application until we do not use anything else than the search features/perms.

Read documentation

To prevent patch-package un the futur, we have opened this issue: algolia/algoliasearch-client-javascript#1424

Checklist

I have:

• Made sure the title of my PR follows the convention ($jira) $type($scope): $summary.
• Made sure my feature is working on the relevant real / virtual devices (native and web).
• Written unit tests native (and web when implementation is different) for my feature.
• Added a screenshot for UI tickets.
• Added new reusable components to AppComponents page and communicate to the team on slack.
• If my PR is a bugfix, I add the link of the "résolution de problème sur le bug" on Notion

Screenshots

iOS	Android	Mobile - Chrome	Desktop - Chrome	Desktop - Safari

[sonarqubecloud]

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