How do I properly fit a replacement screen with touch IC chip cover?

On the backside of the iPhone 7 screen is a touch IC chip covered by a gray rectangular cover near the LCD and power ribbon cables. On any replacement screen I have bought, the new touch IC chip cover is slightly larger than the OEM one. The problem is the area inside the phone where this chip cover fits does NOT have a whole lot of wiggle room. Sometimes, I get can the cover to fit perfectly in that space when inserting the new replacement screen on. Other times, the chip cover won't be fully seated and will press against the back of the LCD causing a pressure point on the front side.

Any recommendations for getting the chip cover to fit perfectly every time? Has anyone taken off the OEM chip cover and replace the non-OEM cover with it? Could you just pop off the non-OEM chip cover and simply place it in the small area inside the phone where it should fit and it'll naturally cover the touch IC chip without it actually being glued on? The 7 Plus phones have more wiggle room for this chip cover, so I've never ran into problems with that model.

This piece here.....: