Oh OP,
Baby fussing and not wanting to be put down = switch sides & persevere. I would not give a bottle of formula.
If you want to establish bf, you will need to not give formula at all during this early stage. 60ml formula will totally fill him up. He will therefore not seek a bf from you, which will then cause your body to limit supply. And in a couple of hours you will be thinking 'oh he is sucking but not getting any milk.... bf doesn't work I will try a bit of formula. Oh I can see him drink x amount - that is good at least I know he is not hungry' and so on.
It is a vicious cycle.
BertrandRussell has excellent advice. So does BoatRace.
The human body has a mechanism - if there is a baby to feed, it takes the baby actually feeding on the breast for extended periods to bring the mother's milk in. If you just have little goes at bf & then offer some formula your body will not produce sufficient milk.
Just enjoy it! Don't stress. Please don't time the feeding. Please don't worry about how much bf milk baby is getting etc etc - just enjoy your beautiful baby and feed, and cuddle, and ask dp to change the nappy, and repeat...... feed, cuddle (switch sides). As long as you are getting some wet nappies, all is good. If he falls asleep, gently try and put down and if he doesn't want to, well - continue to feed, cuddle, enjoy.
For me, continual feeding for 12 hours or so created huge milk supply. I had enough for 2 babies. It was leaking out while baby was sleeping! I threw formula away & had an exclusively bf baby. He ended up fat, contented and happy.
It is very, very easy to get your milk supply to go down. You do this by limiting or timing breast feeds / stressing / running around doing jobs / shopping/ housework.
On the other hand, it takes time to establish it and make it go up. Particularly in the beginning. Have faith in your body.