How do I query this schema for facets without calling the index api for each facet name to retrieve the associated values?
Similar to here:
https://learn.microsoft.com/en-us/azure/search/search-faceted-navigation#facets-syntax
Use aPOSTand under"facets", use an array of the different facets you want to return the values for.
https://learn.microsoft.com/en-us/rest/api/searchservice/search-documents#query-parameters
One thing to consider is caching some of this client side for improved performance.