Hi 

I can't see your picture, so would you mind if you upload it again? 

Anyways, Gibb's free energy with knot (circle) symbol wouldnt change since it is a constant value. 

But Gibb's free energy without knot can be changed depending on the changes in concentrations or partial pressures as well. 

However, Gibb's free energy under standard conditions or not understandard conditions will not be strongly distinguished in ap chemistry exam. 

But only remember you can calculate Keq using the equation of 

standard Gibb's free energy = -RTlnK

For that equation only, Gibb's must have that circle (knot). 

And one more thing is when i say standard state, it's different from STP. 

Standard state represents 25 degree Celsius while STP represents 0 degree Celsius. 

We only use STP for the gas chapter actually. 

Standard Gibb's free energy is defined as the gibb's free energy at 25 degree Celsius, thus, it doesnt depend on the change in temperature. It's already fixed at 25 degree Celsius. 

But don't get this too complicated. 

Just understand what I mentioned above. 

Thank you and Happy new year!

- Kelda