APCBC was only its regular AP ammo issue.
APDS (Armor Peircing Discarding Sabot) was a British designed tungsten core round issued to Firefly tanks for the 17 Pdr. It could do @220mm of armor at 2000 yards. Wether we see any for the AH version, who knows.
The US Army used HVAP (High Velocity Armor Peircing) in their 76mm armed Shermans (different gun, and not Firefly tanks), it was a form of APCR ammo, but not as good as APDS.
The US Army also developed a special HVAP shell for the 90mm gun on the Pershing tank later in the war.
In both cases, the ammo was issued in addition to regular APCBC, so they had both, with the special ammo being in more limited quantity. So you would have say, 6 rounds of APDS or HVAP (US 76 mm or British Firefly Sherman), then 30 rnds of APCBC, with HE and smoke as well.
HVAP was never issued to the British (or Canadian) armies in NW Europe and the US Army never used the British APDS in their tanks.