This is PR 1 out of many PRs to come. In first step, prover database
needs to be managed by code. The changes adds a new DAL/ migration for
prover that initializes the database with all the needed tables (as
observed in production).

Additional changes are made to `zk` to not break local development. Note
that from this point forward, development will be done on 2 databases
(as opposed to 1 database model). Alongside these changes, stage env
will be moved to dual database model.

This has been long overdue (8+ months) after core and prover has been
split from infra side during an outage. This is the continuation (and
with following PRs, finalization) of said effort.

Note that whilst there's no automated proper testing of the typescript
code modified, I've reran and tested working condition locally manually
multiple times. I expect no breakage, but can't guarantee it.

This is PR 2 in the Prover/ Core DAL split (#1029).

This PR cleans unused/ unnnecessary tables that currently exist in
core database. All these tables have been officially moved to prover
database. All environemnts have been migrated to using two databases
(core db for core components, prover db for prover components).

This has long been a tech debt and source of confusion for anyone trying
to understand the system. The cleanup gets rid of "witness_inputs_fri
from which database, again?" or "I don't see it in the tables;
Did you connect to the right database?" kind of questions.

🤖 I have created a release *beep* *boop*
---


##
[12.0.0](prover-v11.0.0...prover-v12.0.0)
(2024-03-04)


### ⚠ BREAKING CHANGES

* **prover:** Add EIP4844 support for provers subsystem
([#1200](#1200))
* Set 21 as latest protocol version
([#1262](#1262))

### Features

* Adding ability to generate 4844 setup key and refactor
([#1143](#1143))
([975f54b](975f54b))
* **api:** Remove unused and obsolete token info
([#1071](#1071))
([e920897](e920897))
* **dal:** `zksync_types::Transaction` to use protobuf for wire encoding
(BFT-407)
([#1047](#1047))
([ee94bee](ee94bee))
* **db:** Soft-remove `storage` table
([#982](#982))
([601f893](601f893))
* **en:** Integrate snapshots recovery into EN
([#1032](#1032))
([c7cfaf9](c7cfaf9))
* **healthcheck:** Various healthcheck improvements
([#1166](#1166))
([1e34148](1e34148))
* improving verification key generation
([#1050](#1050))
([6f715c8](6f715c8))
* Prover interface and L1 interface crates
([#959](#959))
([4f7e107](4f7e107))
* **prover:** Add EIP4844 support for provers subsystem
([#1200](#1200))
([6953e89](6953e89))
* **prover:** Added --recompute-if-missing option to key generator
([#1151](#1151))
([cad7278](cad7278))
* **prover:** Added 4844 circuit to verification keys
([#1141](#1141))
([8b0cc4a](8b0cc4a))
* **prover:** Adding first support for 4844 circuit
([#1155](#1155))
([6f63c53](6f63c53))
* **prover:** adding keystore object to handle reading and writing of
prover keys
([#1132](#1132))
([1471615](1471615))
* **prover:** merging key generation into a single binary
([#1101](#1101))
([6de8b84](6de8b84))
* **prover:** Moved setup key generation logic to test harness
([#1113](#1113))
([469ab06](469ab06))
* **prover:** Use new shivini function for 4844 circuits
([#1205](#1205))
([376c09e](376c09e))
* Set 21 as latest protocol version
([#1262](#1262))
([30579ef](30579ef))
* **vlog:** Remove env getters from vlog
([#1077](#1077))
([00d3429](00d3429))


### Bug Fixes

* fix link
([#1007](#1007))
([f1424ce](f1424ce))
* make `zk status prover` use the new prover table
([#1044](#1044))
([9b21d7f](9b21d7f))
* **prover:** Decouple core/ prover database management
([#1029](#1029))
([37674fd](37674fd))
* **prover:** Fix initial prover migration
([#1083](#1083))
([6d54010](6d54010))
* **prover:** QoL socket utilization
([#1020](#1020))
([13a6816](13a6816))
* update harness to include fix to new boojum OOM
([#1053](#1053))
([4976941](4976941))


### Performance Improvements

* bump harness version
([#1003](#1003))
([1cbb4c9](1cbb4c9))
* reduce memory consumption of witness generation
([#696](#696))
([dea6768](dea6768))
* upgrade harness version to improve witness generation memory spike
([#1034](#1034))
([09bbb84](09bbb84))
* use jemalloc in witness generator
([#1014](#1014))
([917b2dc](917b2dc))

---
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Please](https://github.com/googleapis/release-please). See
[documentation](https://github.com/googleapis/release-please#release-please).