65% of the effort is on the food department, 45% is on the exercise. Constancy and adherence is the key.
Calisthenics is a difficult discipline for those who are obese. Plus Cali has a known deficiency for lower members on the long run. Try it on a second moment.
I would go with hidrogymnastic (if possible) or walking as cardio, just to build some resistance and to not overstress your joints. (Begin with 30 minutes light intensity per day for 15-30 days then increase it. Later you can switch for what you really like but Video game isn't cardio

.
Hit the gym with
supervision for some weightlifting. You are fat, you already have an advantage here because you already carry you body mass. Plus find the right gym for you.
On the food department.
Begin by dropping the Cheetos and the non zero coke
now (I know you and you can still have your
zero coke)
Eat at the right times. (Breakfast, small healthy snack, lunch, small snack, dinner)
Search for low calories, high fiber and protein snacks, you will discover that you can eat a lot of good things.
Gelatin and fruits are your friends for desserts.
Have a water bottle with you all the time.
You hungry out of one of the big meals I described? Drain water. Then if you are hungry again, use to your "snack pass" on something.
During the large 3 meals, go for bigger portion of lean meat cuts and try to reduce on carbs and sugar.
Find some vegetables that you like and fill your plate with it instead of carbs.
Learn how to cook and the air fryer is your friend.
You're having problems here? Or you you are very good with what I told you? Go for a Nutritionist.
This will make a difference in the long run and it will make the nutritionist work easy for both of you. Dieting imho is 50% about eating right and 50% adherence.
At the first appointment, the nutritionist will give you a very healthy but generic diet. The idea is to see what you like and dislike, and how well you stick with it in order to tailor a diet specifically for you. When you understand that and you arrive there with the right mindset, things will be way easier.