hi,
first of all checkout equilab , give every player a range and see how you run agains each range. this will def. improve your game.
here the situation is pretty intressting. the UTG better is short and will bet a wide range.
the real problem is the 1st cold caller. what kind of a range do you give to him
and will he fold after you go over the top ?
if you thing he is going to fold to your shove although the ods wont allow him to,
then the push is EV+
(we dont need to pay much attention to the2nd cold caller as his stack is very tiny)
but as you have identified the 1 cc as a bad loose player I am probably also jaming in this spot. there is a chance he might fold preflop. in those cases we have lots of deads money in the pot and playing agaings a whide range of the UTG player.
in the other cases he calls and most hands he calls with we have beat.
all in all the push should be EV+
however, the most important part is what are your thoughts of the push.
it does not matter how the hand ends up.
if you have a reason to push and are thinking about the game, even if you are wrong,
then you game is improving.
so think the hand through , know why you do what you do and you wil improve.