poc(chat): add refinement suggestions to search index tool

[FabienMotte]

Summary

FX-3608

This PR:

• Updates the default algolia_search_index tool to display the suggested refinements after the hits carousel using pills. I added a loader for the tool (we are missing it in the current implementation).
• Uses the sendMessage function to apply the selected refinement as part of the conversation. This triggers the algolia_search_index tool again with the new refinement applied (using the facetFilters parameter in the tool input).

Result

refinement_suggestions.mp4

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Latest deployment of this branch, based on commit 1a21932:

Sandbox	Source
example-instantsearch-getting-started	Configuration
example-react-instantsearch-getting-started	Configuration
example-react-instantsearch-next-app-dir-example	Configuration
example-react-instantsearch-next-routing-example	Configuration
example-vue-instantsearch-getting-started	Configuration

[Haroenv]

I think this approach is as good as it will get. We should use send message instead of resolving the tool, as the tool is usually at the start of the message and the user isn't ready to respond yet.