You would need to augment the fencing with hardware cloth, as the gaps in that would not exclude weasels, snakes, rodents, and raccoons from reaching in. Most run kits have the same issue.Does anyone have any experience with this run? It seems like a good potential add-on, but I'm not sure if the wire would be able to keep predators out.
https://www.tractorsupply.com/tsc/product/producers-pride-universal-poultry-pen-8-ft-x-8-ft-cr0808
If you're willing to do the work (of adding on hardware cloth) you might look into dog kennels as an alternate option as might be cheaper or more readily available, but again you will need to cover up the chain link to some degree to exclude smaller pests and predators.
On the plus side for 3 hens this would be a decent amount of space, with room for the coop to be built or placed inside it for extra security.