PA28 pilot reported loss of engine power during approach. The flight crew executed an immediate landing at the airport.

Narrative

We are flying VFR flight from ZZZ1 to ZZZ; its a time build flight; I flew with another pilot who is PVT with IFR rated; he is the one who flying the airplane; he haven't flew for a very long time; so his flying skill is not great; so I monitor the entire flight; as we get cleared into the Bravo airspace; ATC told to lower the ALT 2 times; which we did compiled ; when we were 10 NM away from ZZZ; ATC told us to decent 2;500 ft. and contact Tower; when we report to Tower; the engine suddenly lost power; the RPM dropped; and the airplane start to decent; so I took over the control immediately; and start to pitch for VG; and [requested priority handling] with Tower; at the same time; I was also trying to restart the engine and looking for place to land; unfortunately we are over the lake; and we are too low; around less than 2;000 ft. MSL; no way we will make it to the runway; and I lost sight of the airport and the other pilot just froze. I asked for a heading from Tower; and got runway insight immediately. At the same time; my engine started to come back; but it was on and off. I was trying to maintain the RPM and my ALT; that extra RPM allowed me to stop sinking; and I told Tower that we will be able to make to the runway; but only straight in. With 13 kts. tailwind; the Tower cleared the area for me. When I was may be 2-3 NM away from final; my engine came back. I did not touch the throttle anymore; because I don't want my engine to shut off again; and I would rather be high and fast into the runway then low and stalled. I managed to land safe and soft. After we parked the airplane; I check the both tank; right tank fuel was totally empty and right tank has about 17 gallons at least; however the fuel selector was on left when the engine shut off; and we did set a timer to switch the tank every 22 minutes. I was the one who set the timer on the phone and reminded my copilot to switch the tank. The flying time is about 3 hours which is the same time on the way there; we were full fueled at ZZZ1; and we fueled about 22.5 gallons; which is how much fuel that we used to fly here. Out of a fuel tank capacity of 48 gallons of fuel; so we suspect a fuel leak.