This works as much as possible EVP_PKEY_CTX_new_id(), except it takes
data that's relevant for providers, algorithm name and property query
string instead of NID and engine.

Additionally, if EVP_PKEY_CTX_new() or EVP_PKEY_CTX_new_id() was
called, the algorithm name in the EVP_PKEY context will be set to the
short name of the given NID (explicit or the one of the given
EVP_PKEY), thereby giving an easier transition from legacy methods to
provided methods.

The intent is that operations will use this information to fetch
provider methods implicitly as needed.
Reviewed-by: NTomas Mraz <tmraz@fedoraproject.org>
(Merged from https://github.com/openssl/openssl/pull/10184)