Yep, when the engine is under load it will misfire because this is when the ignition system is under stress. I would do a full tune up with spark plugs and ignition coils with are a common failure, also I would service the throttle bore, here are two guides to help walk you through the repair and instructions for your car in the images below.
https://www.2carpros.com/articles/how-to-tune-up-a-car-engine
and
https://www.2carpros.com/articles/throttle-actuator-service
2.0L 4-cylinder (4B11) NGK ILKR7E6 (Iridium) 0.039 - 0.043 in (1.0 - 1.1 mm)
2.4L 4-cylinder (4B12) NGK ILKR7B8 (Iridium) 0.039 - 0.043 in (1.0 - 1.1 mm)
Check out the images (below). Please upload pictures or videos in your response of any problems so we can see what to help you with.
Images (Click to make bigger)
Sunday, January 5th, 2025 AT 2:54 PM