Gentoo wifi setup issue: wpa_supplicant works but wpa_cli doesn't

I am trying to setup Gentoo on my laptop and am having trouble connecting to wifi. I've never done this before, so I might be making a simple mistake. I've been following [these instructions](https://wiki.gentoo.org/wiki/Handbook:AMD64/Networking/Wireless) . My /etc/wpa_supplicant/wpa_supplicant.conf file is:

# not sure if all of the next 4 lines are necessary
ctrl_interface=/var/run/wpa_supplicant
update_config=1
ctrl_intrface_group=0
ap_scan=1

network={
    ssid=""
    #psk="
    psk=
}

When I run wpa_supplicant, I see:

# wpa_supplicant -B -i wlp4s0 -c /etc/wpa_suplicant/wpa_supplicant.conf
Successfully initialized wpa_supplicant

# wpa_cli
wpa_cli v2.10
...
Could not connect to wpa_supplicant: (nil) - re-trying

^C

# iw wlp4s0 link
Not connected.

Things I've checked: 1. SSID and password are correct 2. Network interface is up:

# ifconfig
wlp4s0: flags=4099...

The wifi network uses WPA, not WPA2/3, in case that makes a difference.