Ender 3 - supports sticking too much?

Hello all,

I am brand new to 3D printing and have had this printer for close to two weeks. I have spent most of that time fiddling with settings, calibrating etc. and my prints are coming out nicely now, except for one thing: When I pull the supports off, it leaves a grid on the actual part, almost like the support isn't completely coming off. I have attached photos of two different prints to show what I mean. Hopefully someone can give me some advice. Thank you!

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