Invisible wavelengths can absolutely hurt your retina, but as wavelengths go farther beyond visible, your eye begins to not focus them properly on the retina, so the risks change. E.g. with 1550nm IR (common in telecom, sometimes in LIDAR) the risk of eye damage is to the surface of the eye rather than to the retina. Short wavelengths like UV will be absorbed by the lens at near-UV, and then eventually just be absorbed at the surface at shorter wavelengths.
I think it would be a cool exercise to figure out how much optical power you would see at, idk, 5cm from your illuminator. I assume it's a shortwave IR close to visible light, so you can assume it will focus like visible light, more or less.
Ideally you'd use an optical power meter but you could get a first pass by looking at the circuit and seeing how many mW pass through each LED, applying a conservatively high efficiency factor of W_optical/W_electrical, projecting that into a radiated cone for each LED and multiplying the power received on a dilated pupil sized spot at 5cm by the number of emitters.
Then you have to work out what the irradiance at the retina is once the light is focused. The hazard criteria include a time factor, so you'll have to decide if you/foxes would like to stare directly into the beam for 10 seconds? Or for the entire duration of your meditation session.