If you want to loose weight quickly and continue exercising, keto diet is better than just focusing on all liquid diet.
Keto diet is based on fat, proteins and water, zero sugar, very low on carbohydrates.
You eliminate all grains, all beans, all vegetable high on Sugar like carrots, beets and sweet fruits, and you focus your diet on fats, oils, meats, fish, soups, bone broth, lemon, green vegetables like salads.
A lot of salads with home made proteins and fats.
You can check the Blood Type Diet list and cross reference it with the keto diet.
It will give you the fastest weight loss, no hunger, and a lot of strength to exercise several times per day for months.