In the interests of pedantry, that's not what the writing says. The operative text is quoted here:

> No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once.

The 'obvious loophole' is that the text doesn't constrain the number of terms anyone can serve, but instead constrains the number of times someone can be elected as president, so if you run as vice president for someone who agrees to immediately resign to let you be president, you technically don't run afoul of the rule.

(The more likely loophole, following from Trump v Colorado, is that nobody is actually allowed to declare somebody ineligible for president, so the constitution's strictures are meaningless in practice. It truly is a disgusting SCOTUS decision.)