I seem to be hitting the ERR_OSSL_EVP_UNSUPPORTED error with 16.14.0-2.fc36 but since versions lower than 17 don't include --openssl-legacy-provider as an option, is there a recommended workaround for this since the changes are handled outside of this package, in the openssl one?

You have the option to do update-crypto-policies --set LEGACY, which will re-enable the unsupported algorithms, but a much better solution would be to fix the underlying code to use a secure algorithm instead. The most common offender is webpack, which can be addressed by adding the following config snippet:

module.exports = {
    output: {
        hashFunction: "sha256"
    }
};

Note that --openssl-legacy-provider will probably not solve your issue. See https://www.redhat.com/en/blog/legacy-cryptography-fedora-36-and-red-hat-enterprise-linux-9 on the difference between the OpenSSL legacy provider and the LEGACY crypto-policy, and why the legacy provider is unlikely to be what you need.