Remove consistently failing integration sync test

[asaj]

Description

Removes an end-to-end test that we no longer rely on. This test fails consistently which habituates us to failing master builds, which can hide underlying real issues.

Tested

These are tests

Other changes

None

[nambrot]

Ironically, the test is still failing?

[nategraf]

So I actually know why this test is failing (the alfrajoresstaging environment was deployed with a different epoch size than exists in the .env.alfajorestaging file at master) at the moment and am working on a fix. If I do fix it, would it be worth reinstating or has it been historically unreliable?

[nategraf]

I've created #1504 to address the standing issue with this test if we want to keep it.

[nategraf]

We decided to go with #1504 to fix the test rather than nixing it.