Firstly, I have to explain what “Response” action is for. We use “Response” action when we receive requests from others and then we make response to them. Usually we receive requests with http trigger, and then we should response to the one who made the request.
Now, we can have a further investigation on your issue. We will find that, no one make requests to you. In your follow, all activities are triggered by a “Recurrence trigger”. We have no need to make a response to it.
In your logic app, when “Recurrence trigger” is triggered as scheduled, a http request will be sent to third party API. Then the third party will response. Considering of your design, I am thinking that you might want to tell the server that you get its response. If so, you do not need to do that at all.
In conclusion, when triggered by “Recurrence trigger”, we do not need to perform a “Response” action.