I would tackle it by calorie counting because that’s what works for me.
No restriction on what or how much you are allowed to eat, but track every single thing that passes your lips so you can see the calorie “cost” of each thing. I use nutracheck because I like it.
Once you have a weeks worth of daily calorie totals, work out the average and deduct 200 calories. Set that as your daily goal and see if you can stay within it more days than not. For me, that two hundred calories was things like not having butter as well as jam on my toast, plus not having oil on my salad only balsamic. It was easy to cut out 200 calories per day. Keep logging everything.
A week later, lower your daily calorie goal by another 200 calories and try to stay within it more days than not. By now I think you’ll be finding “cheaper” food options to replace calorie dense foods. But it is only 200 calories to reduce, so not too hard. Keep logging everything.
Use the internet to find out your TDEE and take 500 calories off it. If your daily calories are at or below that, then great, just keep going. If not, lower your daily calorie goal by another 200 calories each week until you reach TDEE-500 or your goal weight.
I also weigh daily. My daily weight fluctuates a surprising amount, so a weekly weigh-in wouldn’t tell me much.
Id do it thins way because then nothing is forbidden, it is all just choices. And those choices are informed because of the religious logging of calories. I learned so much through logging things; I knew some foods were “better” than others, but logging showed me exactly how many more calories were in one choice or another.