Two businesses, one owner

I have seen versions of my question here, but they’re always ‘locked for comments’ - which pretty much defeats the purpose of having a community board in the first place. But...I spent an hour chatting with Calendly support and am now further away from understanding if this tool can solve my situation or not...so getting an answer here is my last hope before I just give up on Calendly altogether.

I have one business, I just started another. They are not at all related, they use different logos, names, emails, etc. But I want my life to exist on one calendar…

So customers would see two businesses, logos, names, emails….but it would end up falling into my same Calendly (and rules to prevent conflicts, which is the entire point and business model of Calendly).

I have been told Calendly can, and can’t, do this. I have read responses here that says Calendly can, and can’t, do this. 

I thought it was a simple request, clearly it is not. But even if it’s not simple, I still have NO idea if Calendly can solve this problem. I am willing to pay for a solution… but good Lord just trying to get a straight answer makes me want to scream.

Anyway...help?