Support DeepSpeed >=0.6.0, <0.6.5

[carmocca]

What does this PR do?

Fixes part of #13191

Does your PR introduce any breaking changes? If yes, please list them.

None

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cc @awaelchli @rohitgr7 @akihironitta @carmocca @justusschock @Borda

[codecov]

Codecov Report

Merging #13863 (277630b) into master (fff62f0) will decrease coverage by 10%.
The diff coverage is 75%.

@@            Coverage Diff            @@
##           master   #13863     +/-   ##
=========================================
- Coverage      86%      76%    -10%     
=========================================
  Files         332      332             
  Lines       26127    26123      -4     
=========================================
- Hits        22481    19959   -2522     
- Misses       3646     6164   +2518