Add custom active links to customer account navigation in Magento 2
To get the things done, please change the path in your layout file like below.
<argument name="path" xsi:type="string">support/customer</argument>
Please note, i have removed action part from the path string.
For more information, why you need to do this please study below file.
Magento\Framework\View\Element\Html\Link\Current.php
Hope, this will help you.
You can write in your custom layout
<referenceBlock name="customer-account-navigation-suppport-ticket-link">
<arguments>
<argument name="current" xsi:type="boolean">true</argument>
</arguments>
</referenceBlock>