The free version of Address Autocomplete Anything works on the classic WooCommerce checkout, but not on the WooCommerce Checkout block. The block keeps tight control of its own fields and needs a lot of extra code to fill them in, so it’s part of Address Autocomplete Premium.
With Premium, one switch sets up the billing and shipping address on both the Checkout block and the classic checkout. How to enable address autocomplete in WooCommerce walks through it.
If you’d rather keep the free version, switching your checkout page back to the classic checkout works too. Edit the checkout page, replace the Checkout block with the [woocommerce_checkout] shortcode, then use Pick fields on the Instances tab to set up the billing address fields.