Does anyone have a suggested alternative for authy?

I’d love to go with an open source solution as I’ve done with my password manager, but that doesn’t seem possible with one of my big requirements:

Scenario: I’ve had my phone robbed abroad and managed to buy a new one and loaded my ESIM back into it—I need to recover access to my 2 factor database via SMS so I’m able to log into my cloud storage and access my password database.

At this point I’d probably be happy to host a service myself on something like AWS and use SNS for this requirement, but I’m not sure anything like that exists ready to go. I’m not particularly interested in rolling something myself for this.

I’d be dubious of jumping from one closed source product to another, but if there’s a particularly good option I’m all ears, I’ve been otherwise happy with authy for about a decade now, but this plus the retirement of the desktop app have me looking elsewhere.