Does something similar to a gravitation impulse exist?

Let there be a block of mass $M$ sitting on top of a table. there is a hole in the table right under the center of mass of the block.

A bullet of mass $m$ is shot through this hole and it hits the block and passes through it, losing some velocity.

The impulse imparted in the block due to the bullet passing through it is $I = Fdt = \Delta P = m\Delta v = M\Delta V$. Now there is some velocity $\Delta V$ imparted into the Block due to this impulse.

Now I wanna find the minimum mass of the block such that it doesn't leave contact with the surface.

I have 2 thoughts of how the situation could theoretically proceed :

1. velocity is imparted into the block regardless due to conservation of momentum and the block will leave the table for any mass of the block, albeit it might be for a negligible duration as the mass gets higher.

2. something like an impulse imparted by the gravitation force $I_g = Mgdt$. Now we can equate the impulses to get $Mgdt = Fdt \implies Mg = F$. And from here we can find the critical value of $M$.

Are any of these thoughts right or is there a different ways to go about this problem?