CP algs: Move main tests to CA
Move main CP algorithms tests to CA. This is draft for now due to the following caveats
- will eventually re-target to 24.0 once the CI will be green here to properly test for the analysis
- taus SFs differ for sequences
Note this is just part one that will also go to 24.0 to avoid having integration tests running legacy configuration.
/cc @krumnack @gwatts @ekourlit @jcatmore @jchapman @nstyles