Standard, IANAL and TINLA, plus things will depend on where you are.
But my guess is that probably no - you signed everything else but not that - that's not acting as if you agreed to something, that's acting in a way that differentiates that document.
Had you signed nothing (that is treated everything the same) but carried out your duties, accepted pay and so on then you're more likely to have been bound by it along with everything else.
Ideally of course you would have stated clearly that you weren't signing it - it's still a bit ambiguous - though the overriding thing is that it's normally too expensive and too much effort for companies to enforce them anyway, especially if there is ambiguity.
Worth noting that in a lot of countries (for instance the UK and I believe the EU generally), non-compete clauses, certainly the generic sweeping ones, usually aren't binding as they're a restraint of trade and therefore violate competition law.
But my guess is that probably no - you signed everything else but not that - that's not acting as if you agreed to something, that's acting in a way that differentiates that document.
Had you signed nothing (that is treated everything the same) but carried out your duties, accepted pay and so on then you're more likely to have been bound by it along with everything else.
Ideally of course you would have stated clearly that you weren't signing it - it's still a bit ambiguous - though the overriding thing is that it's normally too expensive and too much effort for companies to enforce them anyway, especially if there is ambiguity.
Worth noting that in a lot of countries (for instance the UK and I believe the EU generally), non-compete clauses, certainly the generic sweeping ones, usually aren't binding as they're a restraint of trade and therefore violate competition law.