refactor: simplify schema names and remove provider id columns

backend/app/models/system.py

@@ -14,9 +14,16 @@ class System(Base):
     id: Mapped[str] = mapped_column(UUID(as_uuid=False), primary_key=True, default=lambda: str(uuid4()))
     system_key: Mapped[str] = mapped_column(String(64), unique=True, nullable=False, index=True)
     name: Mapped[str] = mapped_column(String(255), nullable=False)
-    provider_client_id: Mapped[str] = mapped_column(String(128), unique=True, nullable=False)
     status: Mapped[str] = mapped_column(String(16), nullable=False, default="active")
     created_at: Mapped[datetime] = mapped_column(DateTime(timezone=True), server_default=func.now(), nullable=False)
     updated_at: Mapped[datetime] = mapped_column(
         DateTime(timezone=True), server_default=func.now(), onupdate=func.now(), nullable=False
     )
+
+    @property
+    def provider_client_id(self) -> str:
+        return self.name
+
+    @provider_client_id.setter
+    def provider_client_id(self, value: str) -> None:
+        self.name = value