Database-level multi-library support #48 (#58)

* feat: start of library backends

* feat: update backend routes and create initializer

* feat: add legacy library creation

* fix: resolve frontend type errors

* fix: runtime errors

* fix: lint

prisma/migrations/20250601032211_add_library_relation_to_game/migration.sql

@@ -0,0 +1,17 @@
+/*
+Warnings:
+
+- You are about to drop the column `libraryBasePath` on the `Game` table. All the data in the column will be lost.
+
+*/
+-- DropIndex
+DROP INDEX "Game_libraryBasePath_key";
+
+-- AlterTable
+ALTER TABLE "Game" RENAME COLUMN "libraryBasePath" TO "libraryPath";
+
+ALTER TABLE "Game" ADD COLUMN "libraryId" TEXT;
+
+-- AddForeignKey
+ALTER TABLE "Game"
+ADD CONSTRAINT "Game_libraryId_fkey" FOREIGN KEY ("libraryId") REFERENCES "Library" ("id") ON DELETE SET NULL ON UPDATE CASCADE;