Implement SyncYomi (#1813)

* Implement SyncYomi

* Add ability to select what to sync

* Properly fix default category bug

* Add periodic sync

* Add PostgreSQL support

* Deschedule previous task

* Check if SyncYomi is enabled in syncData function

* Don't allow multiple syncs at the same time

* Convert SyncYomiSyncService to object

* Make startSync non-suspend

* Return a result from startSync

* Sync before library update

* Improvements

* Use NetworkHelper client

* Lint

* Use measureTime

* Database improvements
- Move entire sync operation into a single transaction
- Stop loading all manga to memory

* Revert "Database improvements"

This reverts commit bee8d214c3.

* Actual database improvements

* Remove runBlocking

* Remove title check

* Update updateNonFavorites function

* Update timeout code

* Improve PostgreSQL query

* Create lastSyncState variable

* Create lastSyncStatus query

* Convert lastSyncState to StateFlow

* Create lastSyncStatusChange subscription

* Replace backupRestoreStatus with backupRestoreId

* Add startDate and endDate

* Add logs for sync start and end

* Handle all errors in syncData

* Change category restore function to match Mihon's behavior

* Fix comment

* Remove duplicate BackupMangaHandler.backup call

* Remove duplicated log

* Rename subscription to syncStatusChanged

* Use same flags for restoring

* Update syncInterval config to use DurationSetting

* Update sync scheduling logic

* Reorder conditions to reduce database calls

* Prevent deleted ghost chapters from reappearing during sync
jobobby04/TachiyomiSY#1575

* Improve sync merging categories
jobobby04/TachiyomiSY#1559

* Make columns not null

* Improve H2 triggers

* Add documentation

server/src/main/kotlin/suwayomi/tachidesk/graphql/mutations/SyncMutation.kt

@@ -0,0 +1,28 @@
+package suwayomi.tachidesk.graphql.mutations
+
+import suwayomi.tachidesk.global.impl.sync.SyncManager
+import suwayomi.tachidesk.graphql.directives.RequireAuth
+import suwayomi.tachidesk.graphql.types.StartSyncResult
+
+class SyncMutation {
+    data class StartSyncInput(
+        val clientMutationId: String? = null,
+    )
+
+    data class StartSyncPayload(
+        val clientMutationId: String? = null,
+        val result: StartSyncResult,
+    )
+
+    @RequireAuth
+    fun startSync(input: StartSyncInput): StartSyncPayload {
+        val (clientMutationId) = input
+
+        val result = SyncManager.startSync()
+
+        return StartSyncPayload(
+            clientMutationId = clientMutationId,
+            result = result,
+        )
+    }
+}