It seems the new .NET Core requirement does not provide packages for 32-bit Linux. So that means that there is no way to run ASF V3 on older i386 Linux systems? Is it possible to provide a pre-compiled package that will still work?
Of course, even if you don't have OS-specific package available for your OS-architecture combination, you can always install appropriate .NET Core runtime yourself and run generic ASF flavour, which is also the main reason why it exists in the first place.
There doesn't seem to be a .NET Core runtime for i386 Linux, that's the whole problem.
Then probably this is not the right place to ask about this.
Where else would I ask the ASF developer if his software can still run on 32-bit Linux?
Archi chose to port ASF over to .NET Core, so if that has issues they're automatically ASF issues for ASF users. I get that you two are trying to help but none of you are actually answering my question. If Archi answers this issue with "no, i386 isn't supported, and that was a conscious decision" then my question is answered. If he knows of a way to make it work then that is an even better answer.
If ASF V3 consciously dropped i386 support then that means i386 users will have to keep using ASF V2 until they can upgrade to a 64-bit system. Not an ideal situation, and one which I'm obviously a bit unhappy about, but it is a workable one. At the very least this should be included in the V3 migration guide, since there is no mention of this problem at this time.
There is no chance to get x32 version until it is supported by .NET Core, so I personally would recommend to stick to ASF v2 until then.
i386 architecture is dropped, for the same reason there is no win-x86 OS-specific package. x86 architecture is obsolete since at least 13 years and it was intentional behaviour to not support it right away.
However, as @Ryzhehvost pointed out above, you can still run ASF in generic variant if there is .NET Core runtime for your platform. This goes regardless of what ASF decides to build OS-specific package for. If there is .NET Core runtime for your toaster, your toaster can run ASF too.
Whether there is .NET Core runtime for i386 linux or not, is entirely out of ASF interest though. I know that .NET Core guys are working on this (like @CHT5 pointed out above), but even if they release it officially, don't expect OS-specific package anyway, as I decided to not support this platform.
I don't know what hardware you have there, but all CPUs from 2004 year onwards support 64-bit, so you might want to re-evaluate this. There is a reason why more and more linux distros are dropping support for i386.
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There is no chance to get x32 version until it is supported by .NET Core, so I personally would recommend to stick to ASF v2 until then.