In a 1/4” connector, you can usually use a TRS cable in place of a TS. If the circuit isn’t balanced, using all three conductors, the cable will simply act as an unbalanced connection. So, nothing hurt, but nothing gained.
I don’t think the Sonotone series like the GT1 was balanced, but couldn’t find anything that said either way. The older Taylor systems were balanced, but the newer ES2 uses a regular 1/4” TS cable, and Taylor suggests a direct box be used if long, balanced runs are needed.
A good quality TS cable will do it if you have one.