Azure Data Factory Web Activity save outputs

Question

Is there a way to save the output of an Azure Data Factory Web Activity into a dataset?

Here is my current use case:

I have to dynamically build a JSON post request
The API I'm trying to reach requires a SSL certificate so I have to use the Web Activity Authentication Client Certificate option.
The API also requires basic authentication so I input the Content -Type and authorization guid in the header section of the Web Activity.
Once I get the JSON response from my post request I need to save the response into a blob storage some where.
I tried using the Copy Data Set HTTPS or Rest API as a data set source but both only allow one type of authentication certificate or Basic authentication.

Is there a way I can configure the Rest API or HTTPS data set source handle both types of authentications (SSL and Basic Authorization) or capture all the Web Activity output into a blob storage?

Thank you all for your help! I'm desperate at the moment lol..

Here is what my Web Activity looks like (sorry I had hide part of the credentials for security purposes: Web Activity