Cutting back tarragon in fall?

I planted tarragon this year. it did very well. Now it is no longer growing but is a bit of a bushy mess, with straggly stems and large woody stems as well. ¬†Should I cut it back now? If so…

Growing tarragon

By mid-summe, the stems of my French tarragon get woody and there is very little new growth. What are the best growing conditions for tarragon?  …