Is there a reason you cannot accomplish this with a selfhosted VPN?
Exposing anything has risk. Risk of loss of data, your systems being used for other attacks, and loss of time/money to fix. It is entirety possible to do this as safe as practical of course- keeping your stuff up to date and having some kind of visibility into intrusion detection for immediate response are ways to minimize issues.
I think it comes down to how reliable or fast your internet is. You can selfhost a lot of stuff with reliable internet, power, and environmental variables.
If you have any of those which are less than reliable, a VPS like Linode may make sense for uptime.
I do a bunch of AI stuff, but you won't get chatgpt quality from anything else. It requires a massive amount of storage, memory and processing hardware- millions of dollars in hardware alone. Not sure what you're trying to do exactly, but that model is insane to attempt reproduction in any part
$1k wouldn't get me started for the electrical runs and cabinets for the hardware.