AFAIK never.
Firstly, it couldn't carry British torpedoes. They were too long for the Avenger's bomb bay. The armoured carriers in the BPF seem to have been provided with US Mk.13 torpedows just in case (Illustrious got 30 according to one source, which was a reduced number from her designed complement). But they were never used as the BPF never found a suitable target.
During Operation Dukedom, the Operation in the IO that ended up in the sinking of the IJN cruiser Haguro by destroyers of the 26th Flotilla in May 1945, no torpedoes seem to have been available for the aircraft of 851 squadron on the Shah, before they were transferred to the fighter carrier Emperor.
In Europe the only torpedo carried was the Mk.24 Mine nicknamed Fido. It was an acoustic homing torpedo designed as an anti submarine weapon. But it was short, being about half the length of the US Mk.13.
In mid-1945 the Admiralty issued instructions to the Barracuda squadrons of 11ACS en route to the Pacific to cease practising torpedo attacks and concentrate on dive bombing as that was seen as the main attack method in any continuing war against Japan.
Edit. Not being capable of diving steeply, also meant that the Avenger could not have used the TB attack tactics favoured by the RN and for which Swordfish, Albacore and Barracuda squadrons trained extensively.