How to issue multiple commands to stdin in linux shell with <<<printf - bash

Question

I'm exercising with DVWA high level command injection. I know there is a hole for |, but I'm looking for a way to get an output like the following:
root#vwksOffensive:~# ping -c 4 10.0.0.1 ; ls
PING 10.0.0.1 (10.0.0.1) 56(84) bytes of data.
--- 10.0.0.1 ping statistics ---
4 packets transmitted, 0 received, 100% packet loss, time 3066ms
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root#vwksOffensive:~#
starting from
<<<printf "[ping ip argument] \u003B the_command_I_choose"
My problem is that can do this:
root#vwksOffensive:~# ping -c 4 <<<printf "10.0.0.1"
PING 10.0.0.1 (10.0.0.1) 56(84) bytes of data.
--- 10.0.0.1 ping statistics ---
4 packets transmitted, 0 received, 100% packet loss, time 3055ms
root#vwksOffensive:~#
but I'm not able to do this:
root#vwksOffensive:~# ping -c 4 <<<printf "10.0.0.1 \u003b ls"
PING 10.0.0.1 \u003b ls (10.0.0.1) 56(84) bytes of data.
--- 10.0.0.1 \u003b ls ping statistics ---
4 packets transmitted, 0 received, 100% packet loss, time 3075ms
root#vwksOffensive:~#
and not even this:
root#vwksOffensive:~# ping -c 4 <<<printf "10.0.0.1 ; ls"
PING 10.0.0.1 ; ls (10.0.0.1) 56(84) bytes of data.
--- 10.0.0.1 ; ls ping statistics ---
4 packets transmitted, 0 received, 100% packet loss, time 3075ms
root#vwksOffensive:~#
I searched deeply and the most similar, if it could be said so, is the first answer to this question:
How to make a bash function which can read from standard input?
Unfortunately, this did not help me completely, so I decided to post here my question because I'm sure that, in my ignorance, I'm missing something.
The solution must contain the char ; or any other needed special char coded in unicode. The forbidden, substituted with blank, char are the following:
$substitutions = array(
'&' => '',
';' => '',
'| ' => '',
'-' => '',
'$' => '',
'(' => '',
')' => '',
'`' => '',
'||' => '',
);

Answer 1

if the "command you choose" is in a variable like this:
mycmd="ls -l"
then you can wrap your command and other commands in a sub-shell surrounded by this: ( )
The output for the sub-shell can be re-directed into any other command that you want. e.g. tail, grep, > $log, etc.
The ip addresses that you want to send ping can also be in a variable name:
myip=10.0.0.1
(ping $myip ; $mycmd ) > logfile.txt
It is not clear why you would want to send it in with <<< instead of directly on the command line. If you must use <<<, then still try wrapping the commands in () parenthesis and put a carriage return after the <<< 10.0.0..
and the "ls -l". The parenthesis will tell bash that the command is not done until the closing parenthesis is seen. The carriage return will stop the <<< from consuming the next command.