How to connect to Genimi (Google AI Studio)?

Google AI Studio offers API, however seems that it has it's own setting by it's own package, I can not find the "base_url" for "config.toml". I get a url "https://generativelanguage.googleapis.com/v1beta/models/gemini-2.0-flash" from the following test code, but it failed.

The test connection used in the terminal is:

curl "https://generativelanguage.googleapis.com/v1beta/models/gemini-2.0-flash:generateContent?key=AIzaSyDIBBSzHwE0R3G9m5KtKEvoiwj60CqX3PQ" -H 'Content-Type: application/json' -X POST -d '{
  "contents": [{
    "parts":[{"text": "Explain how AI works"}]
    }]
   }'

The test connection (use python) is:

from google import genai

client = genai.Client(api_key="YOUR_API_KEY")

response = client.models.generate_content(
    model="gemini-2.0-flash",
    contents="Explain how AI works",
)

print(response.text)