Hi,
The relevant part of the notification is as follows:-
"provided or agreed to be provided by way of renting or hiring any motor vehicle designed to carry passenger or supply of manpower for any purpose or works contract by any individual, Hindu Undivided Family or proprietary firm or partnership firm, whether registered or not, including association of persons; located in the taxable territory to any company formed or registered under the Companies Act, 1956 (1 of 1956) or a business entity registered as body corporate located in the taxable territory;"
Here the Business entity should be a Body Corporate and as Partnership Firm is not a body corporate Reverse charge should not be applicable.