That box makes big claims, but only handles 40 devices??
TP-Link RE615X AX1800 Wi-Fi Range Extender is $70. I don't know how well that works in the real world, but it's probably better than the one you found (though costs more).
Hardwired is always better than wireless, but you have to buy and run the cable.
Cat ratings are a measure of maximum rated speed. e.g.
Cat5e vs Cat6.
* If price is the overriding consideration, and there are no intentions of ever requiring Ethernet faster than 2.5GBASE-T, then go with Cat5e
* If you are willing to spend a bit more, Cat6 will be the better choice for future growth and versatility
* Cat6 cable is the better choice for Power over Ethernet (PoE), as the thicker copper conductors allow for better heat dissipation. This advantage really shows at higher powered PoE applications and with cables that have been bundled together…especially in conduit. Please take a look at Power over Ethernet (PoE) Installation Best Practices for more information about PoE and best practices.
* That said, Cat5e is generally the lighter and thinner cable and may be the preferred choice for some applications due to ease of installation in tight spots. Cat5e is typically easier to terminate as well.
I wouldn't trust CCA (copper clad aluminum) outside, but that's just a gut reaction (I'd worry about water corroding the aluminum). It's incredibly cheap though.
Lowes has 200 feet of exterior Cat6a copper cable for $91. I assume similar prices are available elsewhere. You would need the connectors and a crimping tool if you go that route.
If you know the exact length you need, then you can get pre-made cables, of course.
I'm a big, big fan of mesh networks (we've got a TP-Link Deco system that's been upgraded over the years):
X90 Main, X90 satellite (my office, 5 devices), X95 satellite (family room, 9 devices), X95 satellite (J's office, 1 device), M5 (one bedroom, 1 device), M5 (basement, 2 devices).
Presumably you can run the long cable from one of your existing mesh box ethernet ports (or attached network switch) to another mesh box at the end of the outside cable, but I haven't thought about the details in something like this in a while. I know they get complicated trying to do bridging and all the rest...
I hope this isn't noise.
Good luck!
Cheers,
Scott.