Secret server is not accessible at 192.168.222.199. Manually add one more route in order to access its network 192.168.222.0/24 through Kali's gateway 10.175.34.1.
ip route help - ip route command help
ip route add 192.168.222.0/24 via 10.175.34.1 dev eth1
route - check current routes
ping 192.168.222.199 - check pinging the web server, should be working (not necessary, ICMP protocol)
└─# ip route
default via 10.1.0.1 dev adlab0 onlink
10.1.0.0/24 dev adlab0 proto kernel scope link src 10.1.0.5
10.175.34.0/24 dev eth1 proto kernel scope link src 10.175.34.140
172.16.88.0/24 via 10.175.34.1 dev eth1
192.168.241.0/24 via 10.175.34.1 dev eth1
└─# ip route add 192.168.222.0/24 via 10.175.34.1 dev eth1
└─# route
Kernel IP routing table
Destination Gateway Genmask Flags Metric Ref Use Iface
default 10.1.0.1 0.0.0.0 UG 0 0 0 adlab0
10.1.0.0 0.0.0.0 255.255.255.0 U 0 0 0 adlab0
10.175.34.0 0.0.0.0 255.255.255.0 U 0 0 0 eth1
172.16.88.0 10.175.34.1 255.255.255.0 UG 0 0 0 eth1
192.168.222.0 10.175.34.1 255.255.255.0 UG 0 0 0 eth1
192.168.241.0 10.175.34.1 255.255.255.0 UG 0 0 0 eth1
└─# ping 192.168.222.199
PING 192.168.222.199 (192.168.222.199) 56(84) bytes of data.
64 bytes from 192.168.222.199: icmp_seq=1 ttl=63 time=1.70 ms
64 bytes from 192.168.222.199: icmp_seq=2 ttl=63 time=0.857 ms
After the route was successfully added, navigate to http://192.168.222.199 in the web browser: