How does `T DeltaS` determine the spontaneity of process?

Spontaneity of a process

For spontaneous process:

Criteria for spontaneity of process is :-

Assertion (A): The thermodynamic factor which determines the spontaneity of a process is the free energy. For a process to be spontaneous the free energy must be-ve. Reason (R ) : The change in free energy is related to the change in a process must always be positive if its is spontaneous.

The sole criterion for the spontaneity of a process is

For a spontaneous process,