Ok, so this method will work on every linux distro. 
So you need to download this tool named 'WINE'
Download the package from terminal using winehq.org and follow this tutorial:
and run the aiStarter setup by configuring the emulator
Yeah. and I do not know this method works or not, because my linux machine fails to boot.
Worth a try I suppose, but given there is a native linux solution - that works for most people (and the fact that most people using linux do so to avoid using Windows.... 
)
Yeah. and I do not know this method works or not, because my linux machine fails to boot. 
So far, no one working for MIT or studying at MIT has responded to this thread.
We are more MIT fans than MIT community.
Regarding Ubuntu, every few years I try it to see if I can avoid the Microsoft and Apple dumbth taxes.
In the end, I find that you get what you pay for.
The emulator package for Ubuntu is fairly old at this point, but it should still work. The major challenge when using it on newer versions of Linux is that most distributions are now primarily 64-bit, as the emulator and its supporting utilities are 32-bit. I set up a VM using Ubuntu 21.10 and determined that the following should work in a clean environment:
sudo apt-get install libstdc++6:i386 lib32z1
wget -O aisetup.deb http://appinv.us/aisetup_linux_deb
sudo dpkg --install aisetup.deb
/usr/google/appinventor/commands-for-Appinventor/aiStarter
You mentioned compiling and installing APKs on a phone, which suggests you have an Android phone. If so, it's probably easier to use the recommended testing method and install the MIT AI2 Companion app from the Play Store and use that instead of working with the emulator, which bundles a fairly old version of Android. See this page for more details.
I tried this on my Xubuntu 20.04 LTS, using Chromium browser.
When selecting Emulator I get:
(this is as far as the OP got on 21.10 last night)
Ah, I restarted http://ai2.appinventor.mit.edu, and it worked
A recap on commands needed:
Open a Terminal
cd
sudo rm -rf /usr/google/appinventor
sudo rm -rf ~/.appinventor
sudo apt-get update
sudo apt-get upgrade
sudo apt-get install lib32z1
sudo apt-get install lib32stdc++6
wget -O aisetup.deb http://appinv.us/aisetup_linux_deb
sudo dpkg -i aisetup.deb
/usr/google/appinventor/commands-for-Appinventor/aiStarter
pan@pan-H61M-D2-B3:~$ /usr/google/appinventor/commands-for-Appinventor/aiStarter
Bottle server starting up (using WSGIRefServer())...
Listening on http://127.0.0.1:8004/
Hit Ctrl-C to quit.
app inventor --- connect --- error the same like earlier.
The aiStarter helper does not appear to be running
Need Help?
Interesting. What happens if you navigate to http://localhost:8004/ping/ in the same browser in which you access App Inventor?
I have this:
{ "status" : "OK", "version" : "2.3" }
Ok, so it looks like aiStarter is running somewhere. Did you leave a copy running in the background at some point? You can try running killall aiStarter and then re-running /usr/google/appinventor/commands-for-Appinventor/aiStarter to ensure you only have a single process. Normally you will see a log stream in the terminal window containing aiStarter, which will help with debugging any issues going forward.
i forgot:
in terminal after typing in browser i have this:
127.0.0.1 - - [15/Feb/2022 15:07:11] "GET /ping/ HTTP/1.1" 200 38
127.0.0.1 - - [15/Feb/2022 15:07:11] "GET /favicon.ico HTTP/1.1" 404 742
I haven't seen it before - but probably because this window disappears after a while and I get a connection error, but I have:
"unable to retrieve the version of aiStarter ..."
That's what you should get (on Windows, that is) when aiStarter acquires a connection from the website.
That looks good. What does the output look like when you try to connect using the Emulator option in the menu?
in browser i have this :
The aiStarter helper does not appear to be running
Need Help? 1
in terminal: nothing happened.
Ok. It sounds like something in your browser might be blocking access to this port from App Inventor since you can access the server from a fresh window. Which browser are you using, and do you have any extensions installed?
i have Brave and only one extension: DeepL Translate
edit:
i've started on firefox - but on brave wont start. Omg.. thats not big problem.. but i have all in brave, and im not using normal firefox.
and thx, its working.
Hmm. This must be something specific to Brave. I tried with both Firefox and Chromium (on which Brave is based) and both worked fine.
thats strange, i have problem with bank account display in brave and in firefox display problem with my gov healtcare account. But app inventor finally works in firefox. Thx for help.