It's surprisingly hard to buy 8×50 mm fluted wooden #dowels.
The local #DIY and building supplies shops in the nearby towns, and even over in the Big City, do not stock this (apparently unusual) size.
I found a nice little family-run mail order business in #Yorkshire that sold them, only to go all of the way through its WWW site checkout process and find that although it says that it accepts credit cards, that means only accepting Chinese UnionPay credit cards, and no other kinds.
I found another place that will sell me a pack of 100, and charge me an additional twice the item value as shipping.
I only need 4.
Perhaps 6 in case I break/ruin a couple trying to put them back in to the piece of furniture where the original dowels snapped (and I had to drill them out).