I had a trick to help babies and little children sleep.

I would lay down with them , or hold in my arms, and mimic sleep breathing rhythms, it's natural for humans to copy breathing rates, and pretty soon the kids were asleep. Often I was too as when we do something our brain acts as if it's real.

So maybe actively do sleep breathing, maybe do it for Fluffybutt. ( this is not the same as meditation )

also hugs