[CI/CD] Add a pipeline to build binaries in different profiles (#7496)

Recently there were some requests to build and deploy a binary, for
example `polkadot`, in the `release` or `production` profile to do some
testing.
So far we had only a
[release](https://github.com/paritytech/polkadot-sdk/blob/master/.github/workflows/release-20_build-rc.yml)
pipeline that could do it in the GitHub but to use it, there was a lot
of extra overhead needed.
This pipeline should simplify this case and give a possibility to build
a binary in desired profile from any branch for the testing purposes.
Something similar to what we have for runtimes in the [srtool
repo](https://github.com/paritytech/srtool/actions/workflows/manual.yml)
It won't be used in any release activities though.

CC: @BulatSaif