[Plugin: Contact Form 7] 404 error on one page but not another

I’m using the same Contact Form 7 form on two pages: the homepage (a static page called “Home”) and the contact page (a static page called “Contact”). I’ve copied the exact same code:

<?php echo do_shortcode('[contact-form-7 id="212" title="Contact form"]'); ?>

into both pages. But it only works on the homepage. On the contact page, it does nothing, and console says:

https://mydomain.com/contact/ 404 (Not Found)

Does anyone have any idea what’s causing this? It must have something to do with the designated “homepage” vs. another page.