Manage the "Forgot Password Text Message" mobile phone number using REST API

I want to manage the phone number used in the “Forgot Password Text Message” flow using the REST API.
I cannot find a suitable API to manage this setting.
image

I see the Okta UI uses

https://{{url}}/user/profile/mobile_phone
'smsFactor=true&countryCode={{code}}&phoneNumber={{number}}'

which is not using the users API /api/v1/users

Is there a documented API for setting this value?