Step 1: Examine the assertion.
Molality is defined as
\[
m=\frac{\text{moles of solute}}{\text{mass of solvent (kg)}}
\]
Since both moles of solute and mass of solvent remain unchanged with temperature, molality remains constant.
Therefore, the statement
\[
\text{“Molality increases with temperature”}
\]
is incorrect.
Hence, Assertion (A) is false.
Step 2: Examine the reason.
The expression for molality is
\[
m=\frac{\text{moles of solute}}{\text{mass of solvent}}
\]
No volume term appears in this expression.
Since mass is independent of temperature, molality is also independent of temperature.
Therefore, Reason (R) is correct.
Step 3: Final conclusion.
Assertion (A) is false, whereas Reason (R) is true.
Hence,
\[
\boxed{\text{A is not correct, R is correct}}
\]
Therefore, the correct option is (4).