Add IntegrationTest workflow

[mtfishman]

These weren't added as downstream tests before since they don't technically depend on SymmetrySectors.jl but SymmetrySectors.jl is used in their tests when constructing symmetric tensors.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 83.33%. Comparing base (5eeaf22) to head (d8850fc).
Report is 1 commits behind head on main.

Additional details and impacted files

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  Coverage   83.33%   83.33%           
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  Files          13       13           
  Lines         414      414           
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  Hits          345      345           
  Misses         69       69           

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[mtfishman]

Some of the downstream tests are failing, but that should be fixed by ITensor/TypeParameterAccessors.jl#36 and ITensor/BlockSparseArrays.jl#48.

[ogauthe]

I realized TensorAlgebra is still using a custom U1 in test/test_gradedunitrangesext_basics.jl. Maybe we should also switch to SymmetrySectors.U1 there and have SymmetrySectors as a test dependency for TensorAlgebra too?

[mtfishman]

I realized TensorAlgebra is still using a custom U1 in test/test_gradedunitrangesext_basics.jl. Maybe we should also switch to SymmetrySectors.U1 there and have SymmetrySectors as a test dependency for TensorAlgebra too?

Makes sense.