Currently, this is not possible in logic apps. You can send only 1 approval from logic apps. However, if it is must to use an approval connector you can build a logic app where you can send multiple emails and track the options through Storage account or you can simply use a send email connector and get the replies from users. Below is an alternative approach if it is must to use an approval connector from logic apps.

I have used parallel branches to set a time for the responding by the user. If the user fails to select the options within the time limit the logic app fails. In my case I have used 1 minute. However you can even set time using Delay until
and mention the specific date and time to respond back.

In the parallel step I'm sending the Approval email to the user and then I'm storing all the Lists of the blobs in storage account into a variable.
Note: This results to trigger multiple emails to the users

In the next step, I'm checking if the user's options has already been created by checking their mail id. If yes, it just stores the selected option by the user else it creates the file and then stores the selected options by the user.

RESULTS:
In mail

In LogicApps Run

In storage account
