Private Pilot flying C172 aircraft lost control of aircraft during touch and go procedure; resulting in a runway excursion.

Narrative

On Day 0; at approximately XA00; I was solo pilot in command (PIC) of a Cessna 172 owned by a flight school based at ZZZ1. The weather was clear; winds were variable at 07 knots. and the temperature was 60F per the ZZZ AWOS report. I had just completed a descending teardrop entry into the left downwind for Runway XX at XXR from 4000 after crossing mid field. I observed the windsock indicating a slight wind straight down Runway XX at an altitude of 1200 as I crossed abeam of the runway numbers. I made my base call and then turned; lowered the flaps to 10; reduced power to 1700 and slowed the airplane to 90 knots. When the end of the runway reached 45 degrees off my left wing; I made the call and turned to left base for Runway XX. Lowered the flaps to 20 and continued in a stabilized descent at 80 knots. I then entered a 2 mile final; realizing I was a bit high; lowered full flaps and further reduced power to 1200 until I was in the proper glide slope. Once on glide slope I brought power in to 1500 and continued the descent at about 75 knots. I noticed I was being pushed to the left by a slight cross wind and applied enough right crosswind correction with right aileron and left rudder to maintain in line with the runway. About 1/2 mile from the edge of the runway; I was sliding to the right; assuming the crosswind had faded I released crosswind correction. I maintained alignment and control as I crossed the threshold and was working on final descent for a touch and go. I touched down just past the 1000 foot markers. I raised my flaps; steadily increasing power into full power with right rudder when the nose started to point to the left just before I was going to rotate at 60 knots. I applied more right rudder but at the speed I was going and the direction of the nose I was headed towards the edge of the runway. I then immediately pulled power and tried to brake before the runway edge to abort the take off. The momentum kept me going off the runway into the grass. I left the runway left edge into the grass about 100 ft. I immediately cut power and pulled mixture to idle cut off to shut the engine off. Once I came to a stop; I made a radio call on CTAF that I had gone off runway and was ok as there were two planes in the pattern. I got out and checked the airplane. The plane stayed on its wheels the whole time; wings did not dip into the dirt. I didn't see any immediate damage. I called the flight school and informed them of the situation. Was given instructions by the chief instructor. It is believed that the cross wind picked up as I was rolling on the ground raising flaps and preparing for the touch and go. I did not put in crosswind correction; unaware it had picked up. I Believed the nose push to the left was p factor torque when power was applied; more rudder was applied and no aileron for the crosswind. Things learned about this incident are to always keep some crosswind correction in. And be cognizant of possible wind changes.