We report an improved absolute frequency measurement of the ¹⁷⁶Lu⁺ (³D₁) optical frequency standard, evaluated via a remote link to the NRC-FCs2 caesium fountain primary frequency standard. Operating a single ion clock with 94.2% uptime over 10 days, and using an ambiguity-resolved precise point positioning (PPP-AR) link over the Global Positioning System, we determine an absolute frequency of 353 638 794 073 800.332(91) Hz at a fractional uncertainty of 2.6 × 10⁻¹⁶. This agrees with our previous result, which underpins the Comité international des poids et mesures recommended frequency value, and reduces the uncertainty by a factor of 3.6.