Probably not post-quantum safe. The first standards just came last year. And there are still arguments that these standards are not good enough. Some were compromised already.

Edit, correction: the one considered standard algorithm was broken https://www.theregister.com/2022/08/03/nist_quantum_resistan...

And yes, anything which uses symmetrical keys is post-quantum safe. But you can't always use them and there are other problems.