feat(docs): add SDKs to BatchCheckViewer (#950)

docs/content/getting-started/perform-check.mdx

@@ -169,16 +169,28 @@ The result's `allowed` field will return `true` if the relationship exists and `
 
 If you want to check multiple user-object-relationship combinations in a single request, you can use the [Batch Check](/api/service#Relationship%20Queries/BatchCheck) API endpoint. Batching authorization checks together in a single request significantly reduces overall network latency.    
 
-The Batch Check endpoint requires a `correlation_id` parameter for each check. The `correlation_id` is used to "correlate" the check responses with the checks sent in the request, since `tuple_keys` and `contextual_tuples` are not returned in the response on purpose to reduce data transfer to improve network latency. A `correlation_id` can be composed of any string of alphanumeric characters or dashes between 1-36 characters in length. 
+:::note
+The BatchCheck endpoint is currently only supported by the JS SDK (>=[v0.8.0](https://github.com/openfga/js-sdk/releases/tag/v0.8.0) and the Python SDK (>=[v0.9.0](https://github.com/openfga/python-sdk/releases/tag/v0.9.0)). Support in the other SDKs is being worked on.
+
+In the SDKs that don't support the server-side `BatchCheck`, the `BatchCheck` method performs client-side batch checks by making multiple check requests with limited parallelization, in SDK versions that do support the server-side `BatchCheck`, the existing method has been renamed to `ClientBatchCheck`.
+
+Refer to the README for each SDK for more information. Refer to the release notes of the relevant SDK version for more information on how to migrate from client-side to the server-side `BatchCheck`.
+:::
+
+The BatchCheck endpoint requires a `correlation_id` parameter for each check. The `correlation_id` is used to "correlate" the check responses with the checks sent in the request, since `tuple_keys` and `contextual_tuples` are not returned in the response on purpose to reduce data transfer to improve network latency. A `correlation_id` can be composed of any string of alphanumeric characters or dashes between 1-36 characters in length.
 This means you can use:
 - simple iterating integers `1,2,3,etc`
 - UUID `e5fe049b-f252-40b3-b795-fe485d588279`
 - ULID `01JBMD9YG0XH3B4GVA8A9D2PSN`
 - or some other unique string
 
-But each `correlation_id` within a request must be unique.
+Each `correlation_id` within a request must be unique.
 
-*Note*: If you are using one of our SDKs, the `correlation_id` is inserted for you by default and automatically correlates the `allowed` response with the proper `tuple_key`.
+:::note
+If you are using one of our SDKs:
+* the `correlation_id` is inserted for you by default and automatically correlates the `allowed` response with the proper `tuple_key`
+* if you pass in more checks than the server supports in a single call (default `50`, configurable on the server), the SDK will automatically split and batch the `BatchCheck` requests for you, how it does this can be configured using the `maxBatchSize` and `maxParallelRequests` options in the SDK.
+:::
 
 To check whether user `user:anne` has multiple relationships `writer` and `reader` with object `document:Z`
 
@@ -199,11 +211,7 @@ To check whether user `user:anne` has multiple relationships `writer` and `reade
       allowed: true
     }
   ]}
-
   skipSetup={true}
-  allowedLanguages={[
-    SupportedLanguage.CURL,
-  ]}
 />
 
 The result will include an `allowed` field for each authorization check that will return `true` if the relationship exists and `false` if the relationship does not exist.

docs/content/interacting/relationship-queries.mdx

@@ -184,7 +184,9 @@ The <ProductName format={ProductNameFormat.ShortForm}/> API will return `true` d
 
 ### Caveats and when not to use it
 
-If you are making less than 10 checks, it may be faster to call the [Check API](/api/service#Relationship%20Queries/Check) in parallel instead of Batch Check. 
+If you are making less than 10 checks, it may be faster to call the [Check API](/api/service#Relationship%20Queries/Check) in parallel instead of Batch Check.
+
+The new BatchCheck endpoint is currently supported by the JS SDK (>=[v0.8.0](https://github.com/openfga/js-sdk/releases/tag/v0.8.0) and the Python SDK (>=[v0.9.0](https://github.com/openfga/python-sdk/releases/tag/v0.9.0)). Support in the other SDKs is being worked on.
 
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