refactor: update route query through Vue router

[MichaHuhn]

Update the route query through the Vue router instead of useUrlSearchParams() from VueUse.

useUrlSearchParams() is great when reading and writing to search params like this:

const params = useUrlSearchParams('history')

console.log(params.version) // '1.0'

params.version = '2.0'
console.log(params.version) // '2.0'

However, in the case of replacing the entire route query with the new persistent icon data, we can use the Vue router instead like this:

await router.replace({
  query: persistentIcon
})