Yes! I'm finally past invasion bug! I spoke with developer and he said invasion bug has been already fixed however for some accounts fix may not apply.
Here is what you have to do if you are stuck in invasion:
1. Go to game's discord:
https://discord.gg/3kBQCsN8
2. Go to s69-bugs-and-issues channel.
3. Ping MikeSzym game developer and and write you are stuck in invasion.
You will be asked for nutaku ID (nutaku account ID not Shelter 69 ID). In my case bug has been resolved in next game update.