Choose RSA-OAEP for encryption and decryption or RSA-PSS for signing and verification. The key material is created and exported on your device. You can switch between PEM and JWK views, copy either key, download separate files, and compare the SHA-256 fingerprint of the public SPKI key.
Private keys need careful handling. The PKCS#8 PEM and private JWK produced here are not protected by a password. Move the private key directly into an appropriate secret store, restrict file permissions, and replace the pair if the private key is ever exposed.