refactor(resharding): extract tables sync to separate function

[meskill]

I started with extracting the logic related to table loading from orchestrator/publisher and ended up with OmniOwnership refactoring and new edge cases testing.

This PR moves the sync_table logic to separate module with omni-sharded tables distribution between streams embedded. This allows for:

• distribute omni for both copy_data and replication. That allows to drop OmniOwnership since it's basically the same approach from another perspective - let the single stream to handle updates for omni tables to avoid multiple parallel updates to the same rows
• add tests and handle the cases when the table changes from sharded to omni and backward.
• even with all of this etc. there are some cases when we can deadlock (the duplicates on multiple shards that we don't expect to duplicate etc.) actually. I don't want to lose the parallelization for this cases, but also don't even want to leave things to chances, that's why I added the lock_timeout enforcement during the resharding

[meskill]

this test constructs very specific environment and flow, that is not exactly how the whole flow runs during the replication.

This was helpful for debugging initially, but now it's a burden. I'm checking the full flow with more integration test integration/resharding/repro_deadlock.sh

[codecov]

Codecov Report

❌ Patch coverage is 98.60465% with 3 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
...c/backend/replication/logical/subscriber/stream.rs	83.33%	1 Missing ⚠️
...dog/src/backend/replication/logical/tables_sync.rs	99.06%	1 Missing ⚠️
pgdog/src/backend/schema/mod.rs	0.00%	1 Missing ⚠️

📢 Thoughts on this report? Let us know!

[levkk]

Any chance you could add #1473 into this as well or would that be out of scope?