No, because you called the service from their client.

Yes, that's exactly what T3Code does. https://x.com/GergelyOrosz/status/2095453990980817301

I think the problem with his ask in that initial picture is mentioning Pi, which doesn't do headless CLI, but does do the OAuth that the TOS specifically mentions.

It doesn't seem like T3 Code ever implemented antigravity at the time of the post. Now they've added it via ACP: https://github.com/pingdotgg/t3code/pull/9348

I'm happy to learn otherwise, but that thread doesn't seem to explain anything.