[written before your latest response]
Following on from the previous response, I think there were two versions of Chloe (20130 and 23131) and two versions of Olomana (23130 and 23132).
20130 was made in pre-Marklin days, so they won't offer any spares (or even part numbers) for that. I'm reading that 23131 was announced (and promised for delivery) in 2017, but actually delivered in 2018. The LGB website ofers an exploded diagram for 23131 showing (correctly or otherwise) a belt . . .
View attachment 328099
View attachment 328098
. . . offering these part numbers . . .
View attachment 328101
View attachment 328104
The LGB website then suggests that both "Radsatz" are available (at a price!) . . .
View attachment 328102
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. . . but fails to show a picture (that I would have thought was necessary to satisfy yourself that my researches are valid).
There was a time (just after Brexit kicked in) that LGB wouldn't supply to the UK but I now see that they now show a shipping cost (19.95 EUR) to "Great Britain", so maybe they've relented.
Failing that, Peter Skinner at Chalk Garden Rail is LGB's warranty repair agent, so may be able to get what you need if you want to save on postage charges (and may be able to give you the assurance that the one of the part numbers above is actually what you want).
I hope I've not led you astray with this advice. Maybe you should start by confirming product number of the loco you've got, and/or the date shown on the gold circular sticker.
Good luck
Best wishes
David