Airtable cannot tell which form was used to create a new record.
However, there are ways to avoid manually setting the status.
One option is to add the “Status” field to the forms and prefill it based on the form. However, the user would have to see that field and you have to trust that the user will follow your instructions to not change it.
Alternatively, if you can tell which form was used from the fields that were filled out, you could turn the {Status} field in to a formula field and calculate the {Status}.