How do you make the Place Order button disabled until after the address update button is pushed?

The issue is in Braintree payment method only and it resolved in Magento - 2.1.10 issue #8522

To resolve the issue in below Magento 2.1.10 version follow given steps.

Override the below template in your theme

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

After that update code from line no 139 to 149 with given below code

<button class="action primary checkout"
        type="submit"
        data-bind="
            click: placeOrderClick,
            attr: {title: $t('Place Order')},
            css: {disabled: !isPlaceOrderActionAllowed()},
            enable: isActive()
        "
        disabled>
    <span data-bind="i18n: 'Place Order'"></span>
</button>

This appears to be an acknowledged bug in M2 See Issue 8522

First I would have a look at IWD one page checkout ( google it ) its a great exetension and I use it on several M2 stores, it automatically calculates shipping and does not have an update button.

Failing that try this with good old javascripty

<script>
document.getElementById(' Your ORDER BUTTON ID ').style.display = 'none';

document.getElementById(' UPDATE BUTTON ID ').onclick=function(){

document.getElementById(' YOUR ORDER BUTTON ID ').style.display=''; 
};
</sript>

There are other ways of doing this but to be fare if you just use javascript you are not changing any magento process logic , just make sure you overwright the files in the correct way , seriously though look at the IWD extension it solves your problem out of the box I think