An embiggened version of the 8×8 inch fixture, built with MDF for improved durability & flatness:

That’s an 8×8 quilt pattern as a quick fit check. Should I cut more of those, I’d install rivnuts in the obvious locations:

The white layer is 1 mm thick chipboard with the rivnut heads flush at its surface:

The perspective makes the fit look much worse than it is.
The back side has squishy foam feet keeping the M3 screws off the table:

The large rectangle on the LightBurn tool layer helped align the 8×12 inch MDF stock. The smaller squares show where the 8×8 inch square will fit and confirmed the hole locations:

The LightBurn SVG layout is a GitHub Gist, which also includes the template layout for cutting Letter pages to fit the fixture.
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