Make netplay's "same game" check more robust

Instead of comparing the game ID, revision, disc number and name,
we can compare a hash of important parts of the disc including
all the aforementioned data but also additional data such as the
FST. The primary reason why I'm making this change is to let us
catch more desyncs before they happen, but this should also fix
https://bugs.dolphin-emu.org/issues/12115. As a bonus, the UI can
now distinguish the case where a client doesn't have the game at
all from the case where a client has the wrong version of the game.

Source/Core/DiscIO/Volume.h

@@ -12,6 +12,8 @@
 #include <string>
 #include <vector>
 
+#include <mbedtls/sha1.h>
+
 #include "Common/CommonTypes.h"
 #include "Common/StringUtil.h"
 #include "Common/Swap.h"
@@ -138,6 +140,13 @@ public:
   virtual u64 GetRawSize() const = 0;
   virtual const BlobReader& GetBlobReader() const = 0;
 
+  // This hash is intended to be (but is not guaranteed to be):
+  // 1. Identical for discs with no differences that affect netplay/TAS sync
+  // 2. Different for discs with differences that affect netplay/TAS sync
+  // 3. Much faster than hashing the entire disc
+  // The way the hash is calculated may change with updates to Dolphin.
+  virtual std::array<u8, 20> GetSyncHash() const = 0;
+
 protected:
   template <u32 N>
   std::string DecodeString(const char (&data)[N]) const
@@ -151,6 +160,10 @@ protected:
       return CP1252ToUTF8(string);
   }
 
+  void ReadAndAddToSyncHash(mbedtls_sha1_context* context, u64 offset, u64 length,
+                            const Partition& partition) const;
+  void AddTMDToSyncHash(mbedtls_sha1_context* context, const Partition& partition) const;
+
   virtual u32 GetOffsetShift() const { return 0; }
   static std::map<Language, std::string> ReadWiiNames(const std::vector<char16_t>& data);