There should be a sticker underneath with the model number. Most type C ports can display to another monitor, but if it's a Thunderbolt port then it'll allow you to use a Thunderbolt dock with at least two display outputs. And then in some cases, there are those where the typc C port doesn't support any form of display outputs.
According to Dell, the service tag shows it's a Inspiron 5580. The manual mentions the type C port supports Displayport out. I can't tell if a normal type C dock will work with dual displays, but it should work with at least one.
What will the screens be showing exactly? If it's not GPU intensive you could get something like a DisplayLink adapter, so 1 screen can run off that, then a type C to Displayport for the second, then the HDMI port for the last monitor.
EDIT: I would try get a type C hub with two displays first and see if that works. There's also a chance having three external displays may disable the inbuilt laptop display since the IGP can only handle up to 3.
DisplayPort supports daisy chaining.
So if it supports modern DP version it could be possible to connect multiple monitors with daisy chain support to one port.
Though GPU can have limit for total number of active displays.
(+ DP has version dependant bandwidth limit)