Key presses are only registered on items that have focus.
In order to make an element like a <li>
tag focusable (which natively does not have that ability) you will need to add another attribute called tabindex='1'
(1 being an arbitrary value here, but you can read more up on that here).
So in your case:
<li
v-for="(dog, index) in dogs"
tabindex="1"
:key="index"
class=" hover:bg-gray-50"
:class="{ 'bg-red-50': index === focus }"
@keyup.enter="goToSlug(dog)"
> ....
</li>
Now, in order to register a key press on this (or its siblings) just tab through them and press enter when you have the desired target.