feat: replace the cosmos-db.DB interface with core/store interface (backport #21450) (#21490)

Co-authored-by: Julien Robert <julien@rbrt.fr>

docs/architecture/adr-038-state-listening.md

@@ -618,7 +618,7 @@ e.g. in `NewSimApp`:
 ```go
 func NewSimApp(
     logger log.Logger,
-    db dbm.DB,
+    db corestore.KVStoreWithBatch,
     traceStore io.Writer,
     loadLatest bool,
     appOpts servertypes.AppOptions,

docs/learn/advanced/00-baseapp.md

@@ -108,7 +108,7 @@ Finally, a few more important parameters:
 
 ```go
 func NewBaseApp(
-  name string, logger log.Logger, db dbm.DB, txDecoder sdk.TxDecoder, options ...func(*BaseApp),
+  name string, logger log.Logger, db corestore.KVStoreWithBatch, txDecoder sdk.TxDecoder, options ...func(*BaseApp),
 ) *BaseApp {
 
   // ...

docs/learn/advanced/04-store.md

@@ -141,13 +141,13 @@ The documentation on the IAVL Tree is located [here](https://github.com/cosmos/i
 
 ### `DbAdapter` Store
 
-`dbadapter.Store` is an adapter for `dbm.DB` making it fulfilling the `KVStore` interface.
+`dbadapter.Store` is an adapter for `corestore.KVStoreWithBatch` making it fulfilling the `KVStore` interface.
 
 ```go reference
 https://github.com/cosmos/cosmos-sdk/blob/v0.50.0-alpha.0/store/dbadapter/store.go#L13-L16
 ```
 
-`dbadapter.Store` embeds `dbm.DB`, meaning most of the `KVStore` interface functions are implemented. The other functions (mostly miscellaneous) are manually implemented. This store is primarily used within [Transient Stores](#transient-store)
+`dbadapter.Store` embeds `corestore.KVStoreWithBatch`, meaning most of the `KVStore` interface functions are implemented. The other functions (mostly miscellaneous) are manually implemented. This store is primarily used within [Transient Stores](#transient-store)
 
 ### `Transient` Store