On a direct beeline, we both need essentially the same number of techs:
Guilds (CFC has it, we will have it in 2t)
Paper (we have it, CFC needs it)
Gunpowder
Banking
Printing Press
Replaceable Parts
Rifling
This is leaving out all of the other side techs that both teams would want; for example, we are going for Engineering next, which CFC already has, and they probably want Aesthetics/Literature for their Epics and Education at some point. On a straight beeline though, we both need 6 more techs or roughly 15k beakers.
My best estimate is that both our teams will be discovering Rifling right around Turn 175, roughly speaking. It would then take CFC a little while to draft a round of rifles and move them into an offensive position. There's also the question of swapping to Nationhood civic; although CFC is Spiritual and gets free civic changes, they probably won't be too eager to swap out of Bureaucracy with their size 17 Academy capital. The real thing to watch is whether CFC swaps to Nationhood when they discover Gunpowder tech. That would be an obvious tell that they are planning to attack. There's also the question of "would CFC really attack us with drafted rifles and face a giant bloodbath when they could simply attack the Spanish instead?", but who really knows what they're thinking.
Short answer: I think that they can get to Rifling around T170-175 if they are determined, and we can match that same tech pace.
Guilds (CFC has it, we will have it in 2t)
Paper (we have it, CFC needs it)
Gunpowder
Banking
Printing Press
Replaceable Parts
Rifling
This is leaving out all of the other side techs that both teams would want; for example, we are going for Engineering next, which CFC already has, and they probably want Aesthetics/Literature for their Epics and Education at some point. On a straight beeline though, we both need 6 more techs or roughly 15k beakers.
My best estimate is that both our teams will be discovering Rifling right around Turn 175, roughly speaking. It would then take CFC a little while to draft a round of rifles and move them into an offensive position. There's also the question of swapping to Nationhood civic; although CFC is Spiritual and gets free civic changes, they probably won't be too eager to swap out of Bureaucracy with their size 17 Academy capital. The real thing to watch is whether CFC swaps to Nationhood when they discover Gunpowder tech. That would be an obvious tell that they are planning to attack. There's also the question of "would CFC really attack us with drafted rifles and face a giant bloodbath when they could simply attack the Spanish instead?", but who really knows what they're thinking.
Short answer: I think that they can get to Rifling around T170-175 if they are determined, and we can match that same tech pace.