Adopt new OSSL_PARAM code generator

[hlandau]

### Tasks
- [ ] openssl/openssl#20940
- [ ] https://github.com/openssl/project/issues/193
- [ ] https://github.com/openssl/project/issues/192
- [ ] https://github.com/openssl/project/issues/942

[hlandau]

After @paulidale's great work on the OSSL_PARAM trie-based code generator we need to make PRs to actually make use of it in all the places we consume OSSL_PARAMs. So far we only use it for one piece of code which was an exemplary usage as part of the original PR.

[levitte]

Side note: I'm thinking of making a mod that places back the symbol information into include/openssl/core_names.h.in. Having that database hidden in the perl module is bad.

[hlandau]

Relevant context including the core changes which this issue is about making use of, and one example change which shows what to do: openssl/openssl#20940