How to drill flat-bottomed hole

Do we have something in the space that can drill a flat-bottomed hole (best I can think of describing it).
I need to drill some holes in 6mm ply that are only 2 or 3mm deep so I can glue in some disc shaped magnets to basically create giant fridge magnets 200mm by 150mm in size. Flexibility in size of magnets but I imagine the hole would need to be relatively accurate in depth so the magnet didn’t get too recessed or stick out too much.
A pillar drill with some sort of specialist bit?
Does that sound possible?
Thanks in advance

yeah, I think you’ve got it.

end mill?

Sounds like you need a router. You can do this with a square profile bit

Worth noting that many end mills can’t cut downwards.

If it was me I’d just use one of the wood bits, shortening the point if neccessary - if they are small. H big are the magnets? Like 10mm or 50mm. If they are big enough router them with a template.

Another way would be to laser them if the ply is laser safe, this works surprisingly well - but you have to trial and error the right depth a bit first.

This. If necessary cut a template on the laser cutter and use a bit with a guide bearing.

Not sure what diameter magnets you are going to be using but forstner bits are for drilling flat bottom holes and we have some

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The other option is to laser cut the shape you want in 3mm ply
Then cut the exact shapes again in 3mm ply but with holes for the magnets , then glue them together

milling cutter that can cut downwards are know as slot drills