Background information
Dendrite 0.13.7+46902e5 with Postgres database running on Debian 12 compiled with go 1.22.1
Description
Seemingly any hCaptcha (or even reCaptcha, as seen on matrix's official dendrite instance) will give "invalid key type" errors when users attempt to sign up.
Reproducing this is pretty easy, since matrix themselves have already reproduced it.
