Bash function from psql (v14)

Hi,

I am trying to code bash function and call it from psql. But it is failing. How can I get this to work. Creating a separate script instead of a function works, but I do not want to do that. I have too many variables to be passed back and forth. Any ideas?

#!/bin/bash
psql -d postgres -p 5433 <<-PSQLBLOCK
\! run-bash-function -- This doesn't work
PSQLBLOCK

# Run the function outside PSQLBLOCK. This works!
run-bash-function
exit $?

# Create bash function
run-bash-function ()
{
echo "in bash function"
}
# end of bash script

Run the above script:
./test-bash-function.sh
sh: line 1: run-bash-function: command not found
in bash function