// remove add to cart button for every product
add_action( 'init', 'prfx_remove_add_to_cart_button');
function prfx_remove_add_to_cart_button() {
    remove_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_loop_add_to_cart', 10);
    remove_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_add_to_cart', 30);
}

So in the frontend/browser this link will look like/point to:
https://example.com/product-inquiry/?product-title=My Product&product-id=132

// remove add to cart button for every product
add_action( 'init', 'prfx_remove_add_to_cart_button');
function prfx_remove_add_to_cart_button() {
    remove_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_loop_add_to_cart', 10); // catalog page
    remove_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_add_to_cart', 30); // single product page
}

So in the frontend/browser this link will look like/point to:
https://example.com/product-inquiry/?product-title=My Product&product-id=132

(UPDATE)
You should use WooCommerce hooks to insert the new button in place of the old button.
Also if you use variations, its get compicated fast.
For example, you could insert the inquiry button with something like this:

// add inquiry button into every product
// we use the same hooks as before, to insert the new content on the same spot
add_action( 'woocommerce_after_shop_loop_item', 'prfx_add_inquiry_button', 10); // catalog page
add_action( 'woocommerce_single_product_summary', 'prfx_add_inquiry_button', 30); // single product page
function prfx_add_inquiry_button() {

    $current_product_id = get_the_ID(); // get ID of the current post
    $current_product_title = get_the_title(); // get the title of the current post

    $product = wc_get_product( $current_product_id ); // get the product object

    // create a button for variable/variant products
    if ($product->is_type( 'variable' )) {

        $variations = $product->get_available_variations(); // get all available variations of the current product

        if ($variations) {
            foreach ($variations as $variation) {
                
                if ($variation['variation_is_active'] == 1) {
                    
                    echo '<div>';
                
                    // use this to see all available data
                    // print_r($variation);

                    $variation_price_html = $variation['price_html']; // variation price html, for example "€150,00 incl. vat"
                    $variation_id = $variation['variation_id']; // variation ID, for example "2006"
                    $variation_title = get_the_title( $variation_id ); // variation title, for example "Beanie with Logo - red, medium"

                    // we create a button for each single available variation
                    echo '<a href="'.home_url('/product-inquiry').'/?product-title='.$variation_title.'&product-id='.$variation_id.'" class="button">';

                        echo $variation_title; // show title
                        echo '<br>';
                        echo $variation_price_html; // show price html

                    echo '</a>';

                    echo '</div><br>';

                }

            }
        }

    // create a button for simple products
    } elseif ($product->is_type( 'simple' )) { 
        
        echo '<a href="'.home_url('/product-inquiry').'/?product-title='.$current_product_title.'&product-id='.$current_product_id.'" class="button">';

            echo $current_product_title;

        echo '</a>';
    }
    
}

You said you just disabled the add to cart button via CSS, but this is unsafe, because the button is still there only not visible. Instead you should remove the button via the available WooCommerce hooks, something like:

remove_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_loop_add_to_cart');
 
remove_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_add_to_cart');

You said you just disabled the add to cart button via CSS, but this is unsafe, because the button is still there only not visible. Instead you should remove the button via the available WooCommerce hooks, something like: (UPDATED)

// remove add to cart button for every product
add_action( 'init', 'prfx_remove_add_to_cart_button');
function prfx_remove_add_to_cart_button() {
    remove_action( 'woocommerce_after_shop_loop_item', 'woocommerce_template_loop_add_to_cart', 10);
    remove_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_add_to_cart', 30);
}