Multi-hop access keeps asking for password on second machine

[Luiz Romário Santana Rios]

(Please cc me when replying as I'm not subscribed to the list)

I use Tramp to access my remote work machine from home. Our machines are
only accessible through the comapny's internal network, so we either have
to use a VPN or double-hop to be able to access them. Both methods work
fine, but double-hopping doesn't seem to remember the password of the
second machine and Emacs keeps asking me for it multiple times per session
(every time I compile, every time eglot runs, etc). It seems
~/.authinfo.gpg only applies to the first hop not to any subsequent hops.

Can I solve this or is this a known limitation?