For my part, I see this pattern repeatedly at different places. The raw tools in the platforms are too codey and the third-party frameworks like Temporal seem overkill, so you build a scheduler and need to solve the problems OP did: only run once, know if it errored, etc.
But it's amazing how "it's firing off a basic action!" becomes a script, then becomes a script composed of reusable actions that can pick up where they left off in case of errors ... Over time your "it's just enough for us!" feature creeps towards the framework's functionality.
I'd be curious to know how long the OP's solution stays simple before it submits to the feature creep demands. (Long may complexity be fought off, though! Every day you can live without the complexity of full workflows is a blessing)