neon: psql stuck on reconnection

To reproduce:

1. Connect with "quick connect:

$ psql -h start.zenith.tech
NOTICE:  ☀️  Welcome to Zenith!
To proceed with database creation, open the following link:

    https://console.zenith.tech/psql_session/4d754295011d1690

It needs to be done once and we will send you '.pgpass' file,
which will allow you to access or create databases without opening your web browser.
NOTICE:  Connecting to database.
psql (13.5 (Debian 13.5-0+deb11u1), server 14.2)
WARNING: psql major version 13, server major version 14.
         Some psql features might not work.
Type "help" for help.

heikki=>

1. Connect again, with the \c command

heikki=> \c
NOTICE:  ☀️  Welcome to Zenith!
To proceed with database creation, open the following link:

    https://console.zenith.tech/psql_session/712b63cd43e0b9b2

It needs to be done once and we will send you '.pgpass' file,
which will allow you to access or create databases without opening your web browser.
^C
^C^C
^C^C

Without opening the link, try killing psql with CTRL-C. It doesn’t work. It does work in the first connection attempt, but when reconnecting with \c it does not.