Question Baked lights doesn't affect on item in hand

Hi. I got over 100 lanterns on my map, so I've decided to use baked light instead of realtime ones, but now I got different problem. Every item that player holds in his hand is super dark and doesn't react on environment lights (like these lanterns). I don't want any shadows on items, but just to see them brighter if there's baked light source nearby and correct color of that light. How to fix that? I was trying to use Light Probes... no idea how to do it and it wasn't working as well. I'm using Unity 2019.4.32f1

Player with example item in his hand, away from the light source:



Player near the light source:


The item is just a basic Unity cube stretched. I know it is possible to fix, because old games such as Quake 2 had baked lights of environment, but holded weapons were reacting on these light sources... And no it's not black material or wrong UV, cube is fully white with default Standard (Specular setup) material

 

Speaking of Quake, about a year ago I made a Quake-style prototype that has baked light which affects the player (clearly visible on the shotgun at about 0:30):

If I remember correctly it's baked GI + ShadowMask that makes this work:

 

Still nothing :/, but now I've noticed that items arebrighter if players looking up, and completely dark if player is looking at the ground. And no matter if you're close to the light source, or far away in a totally dark forest it works same. Light on your gun is exactly what I want to achieve. Maybe you got specific type of material on it?