Reproduce:

(assume ~/bin exists)

1. M-x shell RET
2. cd ~//bin RET
3. M-: default-directory RET

Expected:

default-directory is ~/bin

Actual:

default-directory is /bin

It seems like the directory tracker uses Emacs's convention for double
slashes "resetting" a path to root, but most shells treat double slashes
the same as single slashes.

It looks like this should be fixed in `shell-cd` (which should also fix
`shell-process-pushd`) by implementing "custom" path handling (compared
to Emacs default path handling behavior).

In GNU Emacs 29.1 (build 1, x86_64-pc-linux-gnu, GTK+ Version 3.24.37,
 cairo version 1.16.0) of 2023-09-03, modified by Debian built on
 kokoro-ubuntu
Windowing system distributor 'The X.Org Foundation', version 11.0.12101007
System Description: Debian GNU/Linux rodete