A New Precision Measurement of the Lifetime of $^{19}$Ne

The mixed $\frac{1}{2}^+\rightarrow\frac{1}{2}^+$ decay of $^{19}$Ne is an important system for studies of the weak interaction. A measurement of the lifetime of this decay at the 10$^{-4}$ level combined with the measured value of the $\beta$-asymmetry enables a determination of V$_{ud}$ that rivals the precision obtained from $0^+\rightarrow0^+$ superallowed Fermi beta decays. The lifetime is currently known to a precision of about 0.08\%, and by utilizing the unique capabilities of the Trapped Radioactive Isotopes: $\mu$icro-laboratories for fundamental Physics (TRI$\mu$P) facility at the Kernfysich Versneller Instituut (KVI), we can improve this precision by up to a factor of three. We describe recent progress towards a high-precision lifetime measurement and present preliminary results.