supersedes https://github.com/paritytech/parity-bridges-common/pull/2873

Draft because of couple of TODOs:
- [x] fix remaining TODOs;
- [x] double check that all changes from
https://github.com/paritytech/parity-bridges-common/pull/2873 are
correctly ported;
- [x] create a separate PR (on top of that one or a follow up?) for
https://github.com/paritytech/polkadot-sdk/tree/sv-try-new-bridge-fees;


- [x] fix compilation issues (haven't checked, but there should be
many).

---------

Co-authored-by: Adrian Catangiu <[email protected]>

Extracted to a separate PR as requested here:
https://github.com/paritytech/parity-bridges-common/pull/2873#discussion_r1562459573

As requested in
https://github.com/paritytech/parity-bridges-common/pull/2873#discussion_r1558974215