  This document is our reply to the Comment (Miloslav Znojil 2023 J. Phys. A:
Math. Theor. 56, 038001) on our recent work titled `The operational foundations
of PT-symmetric and quasi-Hermitian quantum theory'. The original Comment
consists of three addenda to our work. The first addendum claims that our work
is ill-motivated as the motivating question, namely whether PT-symmetric
quantum theory extends the standard quantum theory, was already answered in the
literature. The second addendum points to some missing references in our work,
and the third addendum suggests what constraints could lead to an extension of
standard quantum theory. In our reply, we explain that the claim in the first
addendum is a result of a misinterpretation of our motivating question. When
interpreted correctly, the third addendum in the Comment in itself elaborates
on why our motivating question is interesting and relevant. We also briefly
comment on the prospects of an extension of standard quantum theory along the
lines suggested in the third addendum. As our response to the second addendum,
we explain our rationale behind citing certain references while leaving out
others.
