How to refresh session after changing org in Nuxt?

Using the following

const { data: session } = await $auth.useSession(useAuthFetch)
$auth.organization.setActive({ organizationId: org })

const { data: session } = await $auth.useSession(useAuthFetch)
$auth.organization.setActive({ organizationId: org })

const { data: session } = await $auth.useSession(useAuthFetch)
$auth.organization.setActive({ organizationId: org })

const { data: session } = await $auth.useSession(useAuthFetch)
$auth.organization.setActive({ organizationId: org })

But once the call has been made, the session variable from

useSession

useSession

useSession

useSession is not updated to reflect the new org change.