[WEB-5246] Typesense UI Adapter (Docs site)

[DavidWeid]

What does this PR do? What is the motivation?

• Adds typesense instantsearch adapter package and replaces algolia with it in instantsearch.js (formerly algolia.js)
• Renames all algolia files and instances used in front end search UI with typesense or instantsearch

Jira Ticket

https://datadoghq.atlassian.net/browse/WEB-5246

Todo

• Update additionalSearchParameters with real query_by value
• Update indexName to api_index once that collection has been created in Typesense
• Replace searchFunction with onStateChange (non-blocking, instantSearch-related updated)

Preview

Review all aspects of search (homepage, search results page, regular pages in the side nav, mobile nav search bar: https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/

Merge instructions

• [ ] Please merge after reviewing

Additional notes

https://datadoghq.atlassian.net/browse/WEB-5246

[github-actions[bot]]

Preview links (active after the build_preview check completes)

Modified Files

• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/account_management/rbac/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/getting_started/learning_center
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/getting_started/tagging/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/integrations/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/logs/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/monitors/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/profiler/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/real_user_monitoring/guide/send-rum-custom-actions
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/security/application_security/
• https://docs-staging.datadoghq.com/davidweid/typesense-ui-adapter/tracing/

[davidejones]

/merge

[dd-devflow[bot]]

:steam_locomotive: MergeQueue: pull request added to the queue

The median merge time in master is 25m.

Use /merge -c to cancel this operation!

[davidejones]

/merge -c

[dd-devflow[bot]]

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