Amazon web services – AWS lambda function gives timeout when connecting to the internet

I’m using an AWS lambda function to connect to the internet. It belongs to a VPC with 1 public subnet and 3 private subnets (3 availability zones) with 2 routes tables (public route for public subnet and private route for private subnets) but when I run the Lambda function, it gives me a timeout. Does anyone know what to do?

import json
import urllib.request

def lambda_handler(event, context):
    url = "https://www.google.com"
    
    try:
        # Make HTTP GET request
        response = urllib.request.urlopen(url)
        
        # Read response data
        html = response.read().decode("utf-8")
        
        # Log response
        print("Response from", url, ":", html)
        
        return {
            'statusCode': 200,
            'body': json.dumps('Successfully accessed the internet!')
        }
    except Exception as e:
        # Log error
        print("Error:", str(e))
        
        return {
            'statusCode': 500,
            'body': json.dumps('Failed to access the internet!')
        }