Molecules of different gases can differ significantly in size, for example, the volume of a Cl2 molecule is significantly larger

Molecules of different gases can differ significantly in size, for example, the volume of a Cl2 molecule is significantly larger than the volume of an H2 molecule. Why, then, 6.02 ∙ 10 molecules of any gas, that is, 1 mole of this gas, occupy the same volume under the same conditions?

Under the same conditions, the distance between individual molecules for all gases is practically the same. And since the volume of the molecules themselves (be it chlorine or hydrogen) is negligible in comparison with the intermolecular distance, i.e. we can neglect the size of the molecule itself, it follows from this that the same number of molecules will occupy the same volume.