Chris is correct. The libgit2 library (git2-e0902fb.dll) (which EG accesses via LibGit2Sharp) is specific to the bit architecture.
If you disable EG's Program History feature (uncheck "Enable program history" in Tools->Options->Program History), you should get further, since the library is not immediately loaded in that case. However, if you do any operations that result in EG attempting to use the library, you'll see the exception again. (For example, I noticed simply opening a saved project causes the library to get loaded even if the Program History feature is off.) Otherwise, I second Chris' suggested workarounds.
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