How do you counter Fast Castle? (FC)

I've noticed in my 1v1 games that I actually lose quite a bit of my matches where the opponent goes FC.
People always say:
1. YOU HAVE TO DO DAMAGE
2. HE HAS WEAK ECO PUSH/PRESSURE

I like to make feudal archers, but sometimes my opponent is well defended at home with skirms and in rare cases, a tower.

If I can't do damage, should I pull vills off gold and prioritize getting up to castle age myself?Do I keep making archers?I like playing mayans so should I start making eagles?

Games I lost:Mayans vs CeltsHe MAA FC'd did 3 - 4 castles defensively before hitting imp and going onager and halbsMayans vs CeltsHe MAA FC'd into knights, skirms, and magonel pushMayans vs CumansDelayed 2nd TC into castle age with large knight and skirm push