First step. Calculate what the bounty is worth in chips. Add that to the pot. Say, for argument sake the bounty is worth 5BB. You are calling 14 to win a pot that is worth 35BBs. You would need about 40% equity in this spot. Get yourself a free range calculator, like this:
https://openpokertools.com/range-equity.html
Put your hand and Villain's range in and see what you get. I gave Villain a 37% range, and we are about 38.5% vs that range. If he is shoving ATC you are about 43%.
One of the things I like to do in these spots when analyzing after the fact is solve for what range he'd need to be shoving for our call to break even; here it is about 69% of hands. Do we think Villain is shoving more/less than this? Then we call/fold base on that assumption.
The above doesn't take future game into account, nor ICM.
In a bounty tournament, it is vital to cover other stacks so that we can access other bounties. If the rest of the table has 15ish BBs, calling and losing here won't cost us much. If they have 35-50 BB stacks, losing the ability to get other bounties can be quite bad.
In a different scenario, where you have say 20BBs and there are a lot of 30ish BB stacks, you can call off much lighter, as now you will be able to access bounties that you couldn't before this hand.
You said middle stages of the tournament, so there is some ICM, but not much.
For more see Dara O'Kearney's book.