Print monitored tag information from new connected clients

Current implementation of `watch` command only prints live information of
clients that are connected at the time of calling print. Information
from clients connected after the command invocation is not printed.

This CL updates the print function to print to print tag monitoring
information from clients that connect while information is being printed
live.

Bug: 199746421
Test: Manually Tested
Change-Id: I234ec6a31344c6ca1f696204d2d6f05de6426cb8