I have been experiencing a problem when deploying Tabular model from my local machine to a different server (Server X). The error message I am getting is this one:

Basically what I am doing is creating new Import from Server (Tabular) Project on my local machine, importing model from a different server (image below:)

making some changes on it, then againg deploying on that Server X:

But after all this, after I try to deploy I get this error.
The things I have tried:
In my data source under Edit Permissions -> Credentials -> Edit -> I have tried every single credential combination inside Impersonation Mode, Windows, Database and Microsoft Account that I have (the company I work in has multiple different accounts for SQL jobs, tasks etc.), I have tried every account and password tha I have, but the error remains.
I have also checked if I was an Administrator for Analysis Services Tabular (explained here), and I was (my account is Administrator).
I have also checked if my Windows user is under Administrators, and it is.
I have also checked which server roles are assigned to my SQL login, and all of them are:

Judging by all this, I should be able to deploy Tabular model from local machine to Server X, is there something I'm missing? Or I should be doing everything on Server X, without doing anything on my local machine?
The Visual Studio version I'm using is 2019.
To deploy a model, you have to be either an Analysis Services administrator on Server X or a Windows Server administrator on Server X.
You say you checked if you are an admin on Analysis Services, but didn't show a screen shot, so let's confirm this.
Your domain account should be here. Be 100% sure that the account you see listed here is the account that you are using on your computer that is running Visual Studio/SSDT. Based on the message you are getting, this is where the problem should be.
The only other option is for your domain account that you are using to be a Windows admin on Server X. All Windows admins are automatically Analysis Services admins, though they will not show up on the list above. The link you referenced is how a Windows admin can add themselves as an Analysis Services admin if they are not on the list.
Things that don't matter for the message you are getting:
Developing on your local machine is the way to go. Don't change that. You just need to get the permissions on Analysis Services correct.