Inviting people to mid session

Our league seems to be having the same issue and have no idea if I'm just an idiot and can't find the right button, but it seems to be nowhere. We literally can't re-invite a driver if they disconnect mid-session due to internet connection issues, etc.

Product: F1 22
Platform: Steam / PC
Summarize your bug Similar to the posts above, we run with invite-only lobbies in our league to protect racing integrity from uninvited friends of drivers joining. We had a driver disconnect mid-qualifying session today and found no way to re-invite them. In the lobby, before the first session of the Grand Prix starts, we can invite drivers by pressing F1 on PC to bring up a Steam overlay that allows us it invite our friends. However after the session has started, there is no way to do that. In the pause menu, there is no prompt to invite other drivers, nor does there seem to be an option to do this in Settings nor in the Race Director. Pressing F1 only cycles the Hints at the bottom left of the screen. Pulling up Steam manually using Shift+Tab doesn't help either, since the "Invite to Lobby" option that normally appears in the drop down under user names seems to be suppressed.
Which area is the bug/glitch in? Multiplayer
How often does the bug occur? Every time.
Steps: How can we find the bug ourselves? Create an online session with the lobby set to Invite Only. Start the session, have a driver disconnect, and then try to invite them back in.
What happens when the bug occurs? The driver that disconnected is out of luck and cannot re-join to continue the session. There is nothing the lobby host seems to be able to do.
What do you expect to see? Either give us a hotkey/button to invite drivers back into the lobby mid-session, or allow us to invite through steam. Giving us neither is not a suitable option.