Sounds like you want a Google Voice Number or similar service, but now you're spending money for someone else's awful software, and in some cases, some places will flag your number if its google voice and outright refuse to let you in.
I want a "burner" number, but I'm not sure what the best option is, do I buy a crappy phone at Walmart and use that number? What's the bare bottom of the barrel cost for a phone with no mobile data, only SMS?
I have an Ultra Mobile eSIM as a second line on my iPhone. Costs $3/mo and you can buy cards to top it up or add a credit card. My primary eSIM is a regular phone plan.
It works surprisingly well. I can easily turn off the second line in Settings without removing it.
I could’ve bought an unlocked phone with cash somewhere and used the SIM in that. They wouldn’t know who I was.
I didn’t do that because it was inconvenient and it wouldn’t be anonymous once I started using it for SMS authentication.