Dropdown component not show selected option Laravel inertia (vue) - laravel

Question

hi all I'm using laravel inertia and I'm filling a Dropdown with locations. But when I select one, doesn't show as a selected item in the dropdown. I need help to load the selected option.
When I select one. in console I get "Cannot create property 'id' on string ''
Here I describe my code
#### Function create in CompanyController
```
public function create() { $locations = Location::orderBy('name')->get(); return Inertia::render('Companies/Create', [ 'locations' => $locations, ]); }
```
if I inspect on vuedevtools, I can see the locations array
In my Dropdown I've done a foreach locations in #content section.
Dropdown component
<Dropdown align="left" width="60">
<template #trigger>
<div class="relative">
<button type="button"
class="inline-flex justify-between w-full rounded-md border border-gray-300 shadow-sm px-4 py-2 bg-white text-sm font-medium text-gray-700 hover:bg-gray-50 focus:outline-none focus:ring-2 focus:ring-offset-2 focus:ring-indigo-500"
id="options-menu" aria-haspopup="true" aria-expanded="true">
<span v-if="form.locations === ''">Select Location</span>
<span v-else>{{ form.locations }}</span>
<svg class="-mr-1 ml-2 h-5 w-5" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 20 20"
fill="currentColor" aria-hidden="true">
<path fill-rule="evenodd"
d="M5 8a1 1 0 011.707 0L10 11.293l3.293-3.294a1 1 0 111.414 1.414l-4 4a1 1 0 01-1.414 0l-4-4A1 1 0 015 8z"
clip-rule="evenodd" />
</svg>
</button>
</div>
</template>
<template #content>
<div class="py-1" role="none">
<button v-for="location in locations" :key="location.id" type="button"
class="block w-full text-left px-4 py-2 text-sm text-gray-700 hover:bg-gray-100 hover:text-gray-900"
role="menuitem" #click="form.locations.id = location.id">
{{ location.name }}
</button>
</div>
</template>
</Dropdown>
```
#### Here some screenshots of the form view (locations are faker words)
#### screenshot of error in console (when location is selected)
Here the complete Create Component
https://codeshare.io/N3Mxw1
Thanks in advance
I spect all locations filled on Dorpdown component and whe a location is selected, its show in dropdown, ready to send to store by id.