refactor(examples): rename database-conns to example-database-conns

Match the example-* directory naming convention used by every other example;
the package name was already example-database-conns, so this aligns the
directory with the package. Updates the workspace paths in the example README
and the root README link.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

Author: tusharpandey13

README.md

@@ -22,7 +22,7 @@ The following examples can be found in the examples directory:
 - [Fastify API Example](./examples/example-fastify-api/README.md)
 - [NestJS API Example](./examples/example-nestjs-api/README.md)
 - [Express Web App Example](./examples/example-express-web/README.md)
-- [Database Connections POC](./examples/database-conns/README.md) — internal live-tenant harness for `signUp` / `changePassword`
+- [Database Connections POC](./examples/example-database-conns/README.md) — internal live-tenant harness for `signUp` / `changePassword`
 
 Before running the examples, you need to install the dependencies for the monorepo and build all the packages.
 

examples/database-conns/.env.example …ples/example-database-conns/.env.exampleexamples/database-conns/.env.example renamed to examples/example-database-conns/.env.example examples/database-conns/.env.example renamed to examples/example-database-conns/.env.example

@@ -29,13 +29,13 @@ This is a manual harness for live-tenant testing of `signUp` and `changePassword
 
 4. Install the example dependencies:
    ```bash
-   npm install --workspace=examples/database-conns
+   npm install --workspace=examples/example-database-conns
    ```
 
 ## Running
 
 ```bash
-npm start --workspace=examples/database-conns
+npm start --workspace=examples/example-database-conns
 ```
 
 The app will start on the port specified in your `.env` (default: `http://localhost:3000`).