Remote switching 240VAC power source (without an additional power supply)

I'm designing a 3D printer cabinet for a Prusa mk3 that I will add fans and lights to. But what I'd like is to have a remote switch on the front of the unit to switch it all on.

The printer comes with a 24V PSU with no remote pins (cant find the datasheet', but it's a Delta - PMZ 24V240DWAL),
the fan will also be 24v (I don't want to use the 3d printer PSU as it can only just power the printer and the raspberry pi running octopi),
and a few 5v LED sticks/strips.

There are a few dual output switching power supplies I can use with 5v and 24v. With that in mind, I am planning to move the printer PSU to the back of the enclosure, open up the PSU and rewire the switch on the IEC socket on the case to go to a an AC relay, the relay would have a switch (remote) inline to ground from the coil, and from the relay contact output to a terminal strip then to power both the printer PSU and the dual output power supply.

Would I be able to do this with one of these AC power relays (FIC -FR8) and connect both pins 0 (contact) and 2 (coil) to the 240VAC source (from the IEC socket of the printer PSU), then have a switch between the coil output (pin 1) and ground? I feel like this would be safer than running a live wire to a switch at the front, then back. From the datasheet, the coil has a resistance of 3800 ohms at 240v 60hz which should limit the current through the remote switch (and the wires that go to the front of the enclosure). Can I do that? Or should the coil have a seperate power supply? Is there a better/cheaper way to have a remote switch than this?