Begin by creating an Apify Actor. An Apify Actor is essentially a serverless function that can run your custom code. Write a script in your preferred programming language (Node.js is commonly used on Apify) to extract or process data from Apify's platform. This script will serve as the basis for exporting data to Google Pub/Sub.

Obtain credentials for accessing Google Cloud APIs. Go to the Google Cloud Console, create a new project if necessary, and enable the Pub/Sub API. Then, navigate to the "APIs & Services" section and create a service account that has Pub/Sub Publisher permissions. Download the JSON key file for this service account, as you will use it to authenticate your requests to Google Pub/Sub.

Within your Apify Actor script, install the Google Cloud Client Library for your programming language. For Node.js, this can be done by adding the dependency to your `package.json` file or using npm:

```bash
npm install @google-cloud/pubsub
```

This library will allow you to interact directly with Google Pub/Sub.

In your Apify Actor script, load the Google Cloud service account credentials and initialize the Pub/Sub client. Use the JSON key file downloaded in Step 2 to authenticate:

```javascript
const { PubSub } = require('@google-cloud/pubsub');
const pubSubClient = new PubSub({
keyFilename: 'path/to/service-account-file.json'
});
```

Make sure the path to the JSON file is accessible within your Apify Actor environment.

Implement the logic within your Apify Actor script to retrieve the data you want to send to Google Pub/Sub. This could involve scraping a webpage, processing JSON data, or accessing stored datasets. Use Apify SDK functions to facilitate data extraction.

Once you have the data ready from Apify, publish the data to a Google Pub/Sub topic. First, create a topic in Google Pub/Sub if you haven’t already. Then, in your script, use the Pub/Sub client to publish messages:

```javascript
async function publishMessage(data) {
const dataBuffer = Buffer.from(JSON.stringify(data));
try {
const messageId = await pubSubClient.topic('your-topic-name').publish(dataBuffer);
console.log(`Message ${messageId} published.`);
} catch (error) {
console.error(`Received error while publishing: ${error.message}`);
}
}

// Call the function with data
publishMessage(yourData);
```

Replace `'your-topic-name'` with the actual name of your Pub/Sub topic.

Once your script is complete and tested, deploy your Apify Actor. You can configure it to run on a schedule that suits your needs, whether it's manually triggered, on a recurring schedule, or based on specific events. This ensures that your data is regularly moved from Apify to Google Pub/Sub as needed.

By following these steps, you can effectively move data from Apify to Google Pub/Sub without relying on third-party connectors or integrations.