Student or Learner
In this sentence, can we say the word in bold is an auxiliary or is it a lexical verb? I think it's auxiliary, thougt:
You can't get away from this country.
I would say you are right. Indeed, the definition of a auxiliary verb is that it gives grammatical information, for example about tense, which is not given by the main verb of a sentence:
In your case can give no information, it just implies a certainty. And it is really get (away) that gives the sense of the sentence: You can't get away from this country.
Not a teacher at all