if I want to obtain a spare pair of chain rings identical to what is on the Triban bike now, what do I search for?
Aside from the 4/5 arm thing, the most important detail to get right is the Bolt Circle Diameter - this should be marked on the side of the outer chainring (most likely 110mm, given the size of the chainrings fitted, but 130mm is also common).
Here's an explanation of BCD if you want more info, and how to measure it yourself:
https://wickwerks.com/bolt-circle-diameter-bcd/
You also need to check the tooth count of your existing chainrings - on your Btwin, that's 52 teeth for the outer chainring, 36 for the inner chainring. Again, this should be marked on the chainrings, or you can count the teeth yourself. If you want to make pedalling slightly easier, you can reduce the gearing by swapping to 50 and 34.
Spa Cycles as mentioned earlier have a wide choice of replacement chainrings at a range of prices, eg:
https://www.spacycles.co.uk/m2b0s149p3524/STRONGLIGHT-110-BCD-CT2-Outer-11-speed
https://www.spacycles.co.uk/m2b0s149p3525/STRONGLIGHT-110-BCD-CT2-Inner-11-speed
(these are good quality chainrings, cheaper options are available - you will note, as
@Afnug says, that a pair of replacement chainrings is often more expensive than buying a whole new chainset)