ALPHA
becomes
NZEXR
This way, repeats become opaque. Seems clear enough to share in the clear where _breaking_ the cipher isn't a big concern, just immediately recognizing the answer or patterns in it, is.
Choose an arbitrary length plaintext (8-10 characters would suffice), encode it with the given word as the key.
It just uses SHA256, you share the hash and at any later time prove fairness by letting the user rehash the secret themselves to compare against the original.
Provably Fair Shuffling Through Cryptography
Something like homomorphic encryption or a trusted enclave on the client could work here but unless there's money involved that's probably gross overkill.
I'd go with the server-side solution and API personally but if I had to pick a mechanism for client-side I'd probably do something like AES encryption with a generated key. The actual secret would look like garbage and the key wouldn't show up anywhere on the wire so the attacker would have to actually reverse engineer the key generator.
All that said most of the "attacks" I've seen on the wordle problem just optimize the guessing strategy which is way easier than trying to figure out de-obfuscation of the secret.