wpa_supplicant.conf - adding a mixed WPA2+WPA3 network

Question

I have successfully connected an embedded Linux board running wpa_supplicant 2.9 to a Fritz!Box router using this wpa_supplicant.conf:

ctrl_interface=/var/run/wpa_supplicant
ctrl_interface_group=0
update_config=1

network={
    # Connect via WPA2 to a WPA2+WPA3 network
    ssid="my_network"
    psk="password"
    key_mgmt=WPA-PSK
}

This connection, on the Fritz!Box router, shows up as a WPA2 connection. The router shows other devices connected via WPA3 which is what I'm trying to achieve with the Linux board. I've tried:

network={
    # Connect via WPA3 to a WPA2+WPA3 network
    ssid="my_network"
    psk="password"
    key_mgmt=SAE
    ieee80211w=1
}

I've tried a few variation but without success. wpa_supplicant was built with: CONFIG_SAE=y

Anyone have any pointers please?