control/controlclient: fix deadlock in shutdown
Fixes a deadlock observed in a different repo.
Regressed in 5b3f5eabb5c777910667a6d8297332d223a4af8c.
Updates tailscale/corp#14950
Updates tailscale/corp#14515
Updates tailscale/corp#14139
Updates tailscale/corp#13175
Signed-off-by: Maisem Ali <[email protected]>