Head over to the Cloud Run homepage on Google Cloud Console. Click that 'Create Service' button. Give your service a name and pick a region. Then, hit 'Next'. This is where you'll set up the service's settings.

In Cloud Run, click 'Create Service' again. Go to the 'Container image URL' section and pop in the URL of your Docker container for the Supabase app. If you haven't built your Docker image yet, you'll need to do that first and add it to the Google Container Registry.

Under 'Configure the service's first revision', find the 'Authentication' field and choose 'Allow unauthenticated invocations'. This makes your service publicly accessible.

Double-check all your settings and configurations. If everything looks good, click 'Create' to deploy the service. This might take a few seconds or minutes. Once it's done, Google Cloud Run will give you a URL where you can access your service.

Make sure to check out the Supabase.js library to interact with your Supabase project. In your code, you'll need to initialize the Supabase client with the URL of your Google Cloud Run service and the Supabase project's public API key. Save these as environment variables in your code.

In JavaScript, the initialization would look something like this:

const { createClient } = require('@supabase/supabase-js')
const SUPABASE_URL = process.env.SUPABASE_URL
const SUPABASE_ANON_KEY = process.env.SUPABASE_ANON_KEY
const supabase = createClient(SUPABASE_URL, SUPABASE_ANON_KEY)

After initializing the Supabase client, you can use it in your code to interact with your Supabase project. This could involve anything from querying data, inserting new data, listening to database events, working with user accounts, and so on. Check out the Supabase documentation for more detailed instructions on using Supabase with your project.