You can use silicone patches to have it scar less. There’s many options to reduce scarring today. I once met someone with borderline personality disorder who underwent therapy for their deep scars and they visibly changed over the course of weeks, even though they were old. They told me that the fresher scars even outright vanished.

Clean it with soap and water every day and put vasseline on it, then bandage. Not so much vasseline the edges turn white, but enough so it stays moist. I lost a decent amount of skin in a motorcycle accident last year and the only scarring was the area that got infected.

The only scars I have are surgery scars. Surgeries involved going all the way through the skin to what’s beneath. All the other injuries I’ve gotten must have been too shallow to form a permanent scar (some formed temporary scars that disappeared over time). If your skin biopsy is just a “tiny little cut” then it most likely won’t scar unless you’re prone to scarring.

I second the recommendation for silicone treatment; that’s what I used for my surgery scars and they helped a lot. For the surgeries I’ve had, it’s not possible to not scar, but silicone scar treatment has made my scars change colour to the same colour as my skin so they blend in very well now.

I had a skin biopsy that needed 2 or 3 stitches, don’t remember. That was about 10 years ago and I think the scar was gone after about 5/6 years without any special care. It’s on my face too so I did unintentionally keep track of it on a daily basis.