Cast use_symengine input to a bool (#1385)

* Cast use_symengine input to a bool

This commit works around a bug in Qiskit 0.45.x, 0.46.0, and 1.0.0rc1
with the `use_symengine` flag on `qpy.dump()`. The dump function has a
bug when it receives a truthy value instead of a bool literal that it
will generate a corrupt qpy because of a mismatch between how the
encoding was processed (the encoding is incorrectly set to sympy in the
file header but uses symengine encoding in the actual body of the
circuit.  This is being fixed in Qiskit/qiskit#11730 for 1.0.0, and will
be backported to 0.46.1. But to ensure compatibility with 0.45.x, 0.46.0,
and 1.0.0rc1 while waiting for those releases we can workaround this by
just casting the value to a boolean.

* Fix mypy failures

* Mypy fixes again

qiskit_ibm_runtime/utils/json.py

@@ -215,7 +215,7 @@ def default(self, obj: Any) -> Any:  # pylint: disable=arguments-differ
         if hasattr(obj, "to_json"):
             return {"__type__": "to_json", "__value__": obj.to_json()}
         if isinstance(obj, QuantumCircuit):
-            kwargs = {"use_symengine": optionals.HAS_SYMENGINE}
+            kwargs: dict[str, object] = {"use_symengine": bool(optionals.HAS_SYMENGINE)}
             if _TERRA_VERSION[0] >= 1:
                 # NOTE: This can be updated only after the server side has
                 # updated to a newer qiskit version.
@@ -239,13 +239,13 @@ def default(self, obj: Any) -> Any:  # pylint: disable=arguments-differ
                 data=obj,
                 serializer=_write_parameter_expression,
                 compress=False,
-                use_symengine=optionals.HAS_SYMENGINE,
+                use_symengine=bool(optionals.HAS_SYMENGINE),
             )
             return {"__type__": "ParameterExpression", "__value__": value}
         if isinstance(obj, ParameterView):
             return obj.data
         if isinstance(obj, Instruction):
-            kwargs = {"use_symengine": optionals.HAS_SYMENGINE}
+            kwargs = {"use_symengine": bool(optionals.HAS_SYMENGINE)}
             if _TERRA_VERSION[0] >= 1:
                 # NOTE: This can be updated only after the server side has
                 # updated to a newer qiskit version.