What does your routing table look like? Is there a route with a dst-address=0.0.0.0/0 and gateway=[gw_address] ?
Usually you’d assign the management IP address to the bridge, so the bridge interface would be the one acting as the dhcp-client…
Bridges function @ layer2, so the fact that you can’t ping out from the bridging device doesn’t really mean much and it is not necessary to use a DHCP-Client on the bridge unless thats how you’re assigning its management IP.
It just sound like the bridge doesn’t have a route set, and that’s why it’s unable to ping out to 4.2.2.2. It also could be because the ip address is on an interface thats apart of the bridge… try changing the dhcp-client interface to bridge1.
had to do manual stuff for the bridge ip and added a static route.
[admin@MikroTik] /ip address> print
Flags: X - disabled, I - invalid, D - dynamic
# ADDRESS NETWORK BROADCAST INTERFACE
0 192.168.5.3/24 192.168.5.0 192.168.5.255 bridge1
[admin@MikroTik] /interface wireless> /ip route print
Flags: X - disabled, A - active, D - dynamic, C - connect, S - static, r - rip, b - bgp, o - ospf, m - mme,
B - blackhole, U - unreachable, P - prohibit
# DST-ADDRESS PREF-SRC GATEWAY-STATE GATEWAY DISTANCE INTERFACE
0 A S 0.0.0.0/0 reachable 192.168.5.1 1 bridge1
1 ADC 192.168.5.0/24 192.168.5.3 0 bridge1