How to override module-braintree within my custom theme?

My goal was to add payment method images like Visa and PayPal to appear under Credit Card options. I managed to do so by editing this file:

vendor/magento/module-braintree/view/frontend/web/template/payment/form.html

Adding this code:

    <span class="field type">
        <span class="control">
            <ul class="credit-card-types amir-credit-card-types">
                <!-- ko foreach: {data: getCcAvailableTypes(), as: 'item'} -->
                <li class="item  item._active _active"  >
                    <!--ko if: $parent.getIcons(item) -->
                    <img class="" data-bind="attr: {
                            'src': $parent.getIcons(item).url,
                            'width': $parent.getIcons(item).width,
                            'height': $parent.getIcons(item).height
                        }">
                    <!--/ko-->
                </li>
                <!--/ko-->
            </ul>
        </span>
    </span>

And my objective was achieved:

Now my question is, how to override module-braintree within my custom theme?

I was not sure how to structure folders or where to place form.htmlThis is what I tried: