Food matters for skin during and after weight loss, but within limits that are worth being honest about. The articles here cover what nutrition can genuinely do: protecting the muscle underneath the skin while you are in a deficit, supplying what collagen synthesis needs, and supporting healing if you go on to have a procedure.
What food cannot do is remove skin that is already surplus to your new frame. No grocery list, supplement or collagen drink has been shown to shrink an established fold, and you will find the evidence behind the popular claims set out plainly rather than sold to you. Where a target is given, such as a protein intake, the article says which population the research was done in, because figures from athletes cutting weight do not transfer neatly to someone losing weight on a GLP-1 medication.
If you are on a GLP-1 medication, appetite changes make it easy to under-eat protein without noticing. A dietitian can set targets for your situation, and your GP or prescriber should know about any supplement you add.
The most useful things nutrition does for skin after weight loss are indirect. Protecting muscle changes how your body looks as the fat goes, adequate vitamin C and zinc support normal collagen formation and wound healing, and eating well before and after any procedure supports recovery. None of that is exciting, and none of it needs expensive products. It is also the part that is entirely within your control while you wait for your weight to settle.