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It looks like the invariant_module method was added in Sage 9.4, and you are running version 9.2. See https://trac.sagemath.org/ticket/31939: this ticket implements invariant modules, invariant algebras, etc., and it was merged about 5 months ago. Sage 9.2 was released in October 2020, 14 months ago.

It Building off what @rburing said, it looks like the invariant_module method was added in Sage 9.4, and you are running version 9.2. See https://trac.sagemath.org/ticket/31939: this ticket implements invariant modules, invariant algebras, etc., and it was merged about 5 months ago. Sage 9.2 was released in October 2020, 14 months ago.