hello,
here's a picture of the stamp. it is 3mm MDF, and at the engraved parts, it is 2.2mm, so the depth of engraving is 0.8mm. i did double pass at engraving to be sure to remove enough matter.
IMG_20210201_203253.jpg
i used a toothbrush to remove scraps of wood on the engraved parts. since it was a test, i engraved at 0.15mm interval so the quality is not very good. at 0.1mm i think it would be better with less junk.
for embossing, i used this : 
 
no idea of the applied pressure (but i would not put my fingers in, the thing is massive and heavy-weight (probably 20 kg)!), i sandwiched the dice tray between 2 planks of wood to apply pressure on the center part. after pressing, it stayed under pressure in place for maybe 2 hours, no idea if immediate release would have had the same result.
the MDF seems not altered but i did only one job. as i do not expect to have to mass-product, it seems effective enough and very low cost. 
i'll probably try more intricate patterns now that i see this is feasible.