"Mail the CEO direct!" is one of those inane bits of bad job seeking "advice" that gets trotted out often enough that it's almost enough to make me wish god was real just so I could pray to them that this would just go away.
Here's how it's posited to work by those either those who advise it to be done or by those who come up with the idea on their own:
The CEO is going to be super impressed that I thought out of the box and had such enthusiasm to work for their company that they are going to personally either hire me or shepherd my application through to the person who does. Either way this is a done deal!
Yeah, no. Here's what actually happens:
The CEO (or more likely the CEO's assistant) might just about summon the energy to forward your e-mail as-is to HR but probably just as likely they'll delete your e-mail along with the rest of the spam.
This sort of unsolicited approach is part and parcel of having any sort of significant seniority (I've got at least half a dozen in my business mailbox as I type), and it's noise that you just learn to tune out.
And, truth be told, this is probably the best outcome you can hope for - and not just because it will hopefully mean no-one noticed your broken link faux pas but because for the vast majority of roles a candidate who thinks the normal "rules" don't apply to them, or even is just ignorant of professional norms is actively bad for the role.
There are roles and situations where a direct approach to someone senior like the CEO is a good idea - but very, very few. Typically this might be positions of either a similar level of seniority or for a very significant individual contributor role where you are an established name, not for an "ordinary" employee.
Specifically in your situation you're making speculative approaches for a job that, since you describe it as unadvertised, may not even exist so even if you were a stellar candidate it doesn't follow that a job would be forthcoming. You've "persistently" contacted HR and now spammed the CEO twice - they might not have said so in as many words but it's as clear as day that they aren't interested at this time (and the persistent contact might reduce the chances of them being interested in the future) so move on. Plenty more
fish in the sea jobs in the world!