Use bash builtin `bind` command when starting chroot

Question

I have a chroot and I want the chroot to have its own .inputrc file when it starts, and then run a program.

I'm used to starting the chroot with chroot <PATH> <PROGRAM_TO_RUN> so I tried

chroot <PATH> bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN> 

but then I get the error:

chroot: failed to run command ‘bind’: No such file or directory

After reading the readline manual I saw bind was a bash builtin. So I tried using builtin to run the command like so:

chroot <PATH> builtin bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN> 

but got the same error:

chroot: failed to run command ‘builtin’: No such file or directory

I know running two programs together via && works for chroot because I tested with:

~# chroot <PATH> echo "yo" && echo "Hi"
yo
Hi
~#

I also know that the bind command and the builtin command work on their own inside the chroot:

~# chroot <PATH> bash
/# builtin -h
bash: builtin: -h: invalid option
builtin: usage: builtin [shell-builtin [arg ...]]
/# builtin bind -h
bash: bind: -h: invalid option
bind: usage: bind [-lpsvPSVX] [-m keymap] [-f filename] [-q name] [-u name] [-r keyseq] [-x keyseq:shell-command] [keyseq:readline-function or readline-command]
/# bind -h
bash: bind: -h: invalid option
bind: usage: bind [-lpsvPSVX] [-m keymap] [-f filename] [-q name] [-u name] [-r keyseq] [-x keyseq:shell-command] [keyseq:readline-function or readline-command]

How can I run the bind command inside the chroot command so I can set a custom .inputrc for the chroot?

Answer 1

Just a guess:

You are trying to run a Bash built-in command in a chroot like this:

chroot <PATH> bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN>

But your chroot doesn't have any interpreter running, which could understand bind. Does the following work:

chroot <PATH> bash -c "bind -f <PATH_IN_CHROOT>/.inputrc && <PROGRAM_TO_RUN>"

PS
As @mosvy said, first as answer and then as comment, you can pass the environment with the call of chroot:

INPUTRC=/path/to/inputrc chroot <jail> bash