I figured out a better way to do this.
In user.register.post.post_process:
var ssn = event.request.payload.ssn;
var user_id = platform.session.user.id;
platform.api.patch("system/user?related%3Duser_lookup_by_user_id", {
"resource": [
{
"id": user_id,
"user_lookup_by_user_id": [
{
"name": "ssn",
"value": ssn,
"private": false,
"description": "The SSN of the user."
}
]
}
]
});
The above code sets a lookup key for the newly registered user.