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Hello,
the Multi-Step Checkout plugin works only for the shortcode-based checkout. Unfortunately it cannot be adapted so it can work with the block-based checkout. This is due to a technical limitation imposed by the WooCommerce checkout block.
Since WooCommerce 8.4.0 the block-based checkout is the default version. You can still use the shortcode-based checkout by editing the checkout page, then removing the checkout block and adding a shortcode block with [woocommerce_checkout] as content.