update mysql connect docs

Author: AlexBlokh

src/content/documentation/docs/connect-planetscale.mdx

@@ -33,9 +33,9 @@ drizzle-orm @planetscale/database
 
 #### Step 2 - Initialize the driver and make a query
 ```typescript copy"
-import { drizzle } from "drizzle-orm/connect";
+import { drizzle } from "drizzle-orm/planetscale-serverless";
 
-const db = await drizzle('planetscale', { connection: {
+const db = drizzle({ connection: {
   host: process.env["DATABASE_HOST"],
   username: process.env["DATABASE_USERNAME"],
   password: process.env["DATABASE_PASSWORD"],
@@ -44,8 +44,7 @@ const db = await drizzle('planetscale', { connection: {
 const response = await db.select().from(...)
 ```
 
-If you need a synchronous connection, you can use our additional connection API, 
-where you specify a driver connection and pass it to the Drizzle instance.
+If you need to provide your existing driver
 
 ```typescript copy"
 import { drizzle } from "drizzle-orm/planetscale-serverless";
@@ -57,7 +56,7 @@ const client = new Client({
   password: process.env["DATABASE_PASSWORD"],
 });
 
-const db = drizzle(client);
+const db = drizzle({ client });
 ```
 
 Make sure to checkout the PlanetScale official **[MySQL courses](https://planetscale.com/courses/mysql-for-developers/introduction/course-introduction)**, 

src/content/documentation/docs/connect-tidb.mdx

@@ -33,22 +33,20 @@ drizzle-orm @tidbcloud/serverless
 
 #### Step 2 - Initialize the driver and make a query
 ```typescript copy filename="index.ts"
-import { drizzle } from 'drizzle-orm/connect';
+import { drizzle } from 'drizzle-orm/tidb-serverless';
 
-const db = await drizzle('tidb-serverless', { connection: { url: process.env.TIDB_URL }});
+const db = await drizzle({ connection: { url: process.env.TIDB_URL }});
 
 const response = await db.select().from(...)
 ```
 
-If you need a synchronous connection, you can use our additional connection API, 
-where you specify a driver connection and pass it to the Drizzle instance.
-
+If you need to provide your existing driver:
 ```typescript copy"
 import { connect } from '@tidbcloud/serverless';
 import { drizzle } from 'drizzle-orm/tidb-serverless';
 
-const client = connect({ url: '...' });
-const db = drizzle(client);
+const client = connect({ url: process.env.TIDB_URL });
+const db = drizzle({ client });
 ```
 
 #### What's next?

src/content/documentation/docs/get-started-mysql.mdx

@@ -22,24 +22,23 @@ drizzle-orm mysql2
 #### Step 2 - Initialize the driver and make a query
 <CodeTabs items={['mysql2', 'mysql with config']}>
 ```typescript copy
-import { drizzle } from "drizzle-orm/connect";
+import { drizzle } from "drizzle-orm/mysql2";
 
-const db = await drizzle("mysql2", process.env.DATABASE_URL);
+const db = drizzle(process.env.DATABASE_URL);
 
 const response = await db.select().from(...)
 ```
 ```typescript copy
-import { drizzle } from "drizzle-orm/connect";
+import { drizzle } from "drizzle-orm/mysql2";
 
 // You can specify any property from the mysql2 connection options
-const db = await drizzle("mysql2", { connection:{ uri: process.env.DATABASE_URL }});
+const db = drizzle({ connection:{ uri: process.env.DATABASE_URL }});
 
 const response = await db.select().from(...)
 ```
 </CodeTabs>
 
-If you need a synchronous connection, you can use our additional connection API, where you specify a driver connection and pass it to the Drizzle instance.
-There're two ways you can connect to the MySQL with `mysql2` driver, either single `client` connection or a `pool`.
+If you need to provide your existing driver:
 
 <CodeTabs items={['Client connection', 'Pool connection']}>
   ```typescript copy
@@ -53,7 +52,7 @@ There're two ways you can connect to the MySQL with `mysql2` driver, either sing
     ...
   });
 
-  const db = drizzle(connection);
+  const db = drizzle({ client: connection });
   ```
   ```typescript copy
   import { drizzle } from "drizzle-orm/mysql2";
@@ -66,7 +65,7 @@ There're two ways you can connect to the MySQL with `mysql2` driver, either sing
     ...
   });
 
-  const db = drizzle(poolConnection);
+  const db = drizzle({ client: poolConnection });
   ```
 </CodeTabs>