Magento2 Cant override checkout js file billing-address.js

It seems like a dumb question that was answered a lot here but I cant get it to work.

I want to override Magento_Checkout/js/view/billing-address.js the file is physically under module-checkout/view/frontend/web/js/view/billing-address.js.

Ive copied the file to my <theme>/web/js/components/checkout/billing-address.js and added the configuration to my requirejs-config.js:

map: {
        "*": {
            "dropdownDialog":       "js/components/dropdownDialog",
            "sidebar":              "js/components/sidebar",
            "catalogAddToCart":     "js/components/catalog-add-to-cart",
            "cookieNotices":        "js/components/cookieNotices",
            "loader":               "js/components/loader",
            "Magento_Checkout/js/view/billing-address": 
                                             "js/components/checkout/billing-address",
        }
    }

But the file is not overriden. I still geht the original from module-checkout.