Update product suite (#204)

* Initial pass

* More sanitization and clarity fixes

Author: prrao87

docs/api-reference/index.mdx

@@ -27,7 +27,7 @@ Python, Typescript and Rust SDKs are officially supported by LanceDB. You can us
 
 <Badge color="red">Enterprise</Badge>
 
-REST API-based SDKs provide a convenient way to interact with LanceDB Cloud and Enterprise deployments using the Lance REST Namespace API.
+REST API-based SDKs provide a convenient way to interact with LanceDB Enterprise deployments using the Lance REST Namespace API.
 
 | Reference | Description |
 |:--------------|-------------------|

docs/api-reference/rest/index.mdx

@@ -10,64 +10,68 @@ is an OpenAPI protocol that enables reading, writing and managing Lance tables b
 those metadata services or building a custom metadata server in a standardized way.
 
 LanceDB OSS allows you to interface with Lance tables via the REST Namespace.
-However, LanceDB's Cloud and Enterprise products provide an extended REST API with
-additional endpoints for managing projects, tables, and data.
-If you have specific needs or questions about the Enterprise/Cloud REST API Namespace,
+LanceDB Enterprise provides an extended REST API with
+additional endpoints for managing tables and data.
+If you have specific needs or questions about the Enterprise REST API Namespace,
 please [contact us](mailto:support@lancedb.com).
 
 ## Authentication
 
-<Badge color="blue">Cloud</Badge>
 <Badge color="red">Enterprise</Badge>
 
 All HTTP requests to LanceDB APIs must contain an <u>x-api-key</u> header that specifies a valid API key and
 must be encoded as JSON or Arrow RPC.
 
-The tutorial below demonstrates how to connect to LanceDB Cloud using the REST API.
+To authenticate to the Enterprise REST API, you need the endpoint for your deployment and a valid API key for that deployment.
 
-### Get the API Key
+### Get your Enterprise credentials
 
-1. Go to [LanceDB Cloud](https://accounts.lancedb.com/sign-up) and complete the onboarding.
+1. Obtain the following values from your LanceDB administrator or the LanceDB team that provisioned your Enterprise deployment:
+   - an API key
+   - your Enterprise REST endpoint
+   - your database name, if your deployment uses a private endpoint or `host_override`
 
-![create](/static/assets/images/api-reference/create.png)
+2. Export those values in your terminal:
 
-2. Let's call this particular **Project** `embedding`.
-3. Save the API key and the project instance name: `embedding-yhs6bg`.
+```bash
+export LANCEDB_API_KEY="<your-api-key>"
+export LANCEDB_URI="https://your-enterprise-endpoint.com"
+export LANCEDB_DATABASE="your-database-name"
+```
 
-This is how the Project looks in the LanceDB Cloud Dashboard:
-![projects](/static/assets/images/api-reference/projects.png)
+3. If your Enterprise deployment is private, connect through the private network endpoint provided for your deployment. For example, Azure Private Link deployments commonly use a private IP or an internal DNS name as the endpoint.
 
-4. In your terminal, check the existence of the remote **Project**. Specify the remote LanceDB **Project** `db` and `region`.
+### Verify authentication
+
+4. Check that you can reach the deployment and list tables:
 
 ```bash
-curl -X GET "https://{db}.{region}.api.lancedb.com/v1/tables" \
+curl -X GET "$LANCEDB_URI/v1/tables" \
    -H "Content-Type: application/json" \
-   -H "x-api-key: LANCEDB_API_KEY"
+   -H "x-api-key: $LANCEDB_API_KEY" \
+   -H "x-lancedb-database: $LANCEDB_DATABASE"
 ```
 
-5. Now, create a **Table** to store data. Let's call it `words`.
+If your deployment endpoint already includes the database host name, you can omit the `x-lancedb-database` header.
+
+5. Create a table to confirm write access. Let's call it `words`.
 
 ```bash
-curl -X POST "https://embedding-yhs6bg.us-east-1.api.lancedb.com/v1/tables/words" \
+curl -X POST "$LANCEDB_URI/v1/tables/words" \
    -H "Content-Type: application/vnd.apache.arrow.stream" \
-   -H "x-api-key: LANCEDB_API_KEY"
+   -H "x-api-key: $LANCEDB_API_KEY" \
+   -H "x-lancedb-database: $LANCEDB_DATABASE"
 ```
-- the `db` is `embedding-yhs6bg` 
-- the `region` is `us-east-1`
-- the name of the table is `words`. 
 
-6. Now check that the **Table has** been created: 
+6. Check that the table has been created:
 
 ```bash
-curl -X GET "https://embedding-yhs6bg.us-east-1.api.lancedb.com/v1/tables" \
+curl -X GET "$LANCEDB_URI/v1/tables" \
    -H "Content-Type: application/json" \
-   -H "x-api-key: LANCEDB_API_KEY"
+   -H "x-api-key: $LANCEDB_API_KEY" \
+   -H "x-lancedb-database: $LANCEDB_DATABASE"
 ```
 
-You can always check from the LanceDB Cloud Dashboard:
-
-![words](/static/assets/images/api-reference/words.png)
-
 That's it -- you're connected! Now, you can start adding data and querying it.
 You can visit the tutorial section to build your own applications with LanceDB.
 
@@ -78,5 +82,3 @@ You can visit the tutorial section to build your own applications with LanceDB.
 >
    Check out our tutorials on building various applications with LanceDB.
 </Card>
-
-