> Making GET requests have bodies as the norm would also handle this

The RFC is pretty clear that no participant in a HTTP request is expected to even allow a GET request through. RFC 9110 even states quite clearly that it's even a potential request smuggling attack. Some major cloud providers provide API Gateway implementations that outright strip request bodies from GET requests.

I think you are missing the whole point of proposing a new HTTP verb. Changing the semantics of a GET request is not an option because of both the security risks it presents and the fact that the infrastructure of the whole internet either is designed to reject these requests or outright breaks. See how GET requests are cached and how cache implementations don't discriminate GET requests based on it's request body.