Update patch dependencies job in release workflow

[PaurushGarg]

Issue #, if available:

Description of changes:
Same changes as done in main and pr build here: #670

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.

[codecov-commenter]

Codecov Report

Attention: 102 lines in your changes are missing coverage. Please review.

Comparison is base (09e6487) 85.71% compared to head (258732e) 50.73%.
Report is 185 commits behind head on main.

Files	Patch %	Lines
...ent/providers/AwsAppSignalsCustomizerProvider.java	24.00%	35 Missing and 3 partials ⚠️
...gent/providers/AwsSpanMetricsProcessorBuilder.java	0.00%	20 Missing ⚠️
...ders/AttributePropagatingSpanProcessorBuilder.java	0.00%	16 Missing ⚠️
...viders/AwsMetricAttributesSpanExporterBuilder.java	0.00%	11 Missing ⚠️
...try/javaagent/providers/AwsSpanProcessingUtil.java	90.16%	1 Missing and 5 partials ⚠️
...vaagent/providers/AwsMetricAttributeGenerator.java	96.89%	2 Missing and 3 partials ⚠️
...y/javaagent/providers/AwsSpanMetricsProcessor.java	91.48%	0 Missing and 4 partials ⚠️
...t/providers/AttributePropagatingSpanProcessor.java	94.59%	2 Missing ⚠️

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Additional details and impacted files

@@              Coverage Diff              @@
##               main     #672       +/-   ##
=============================================
- Coverage     85.71%   50.73%   -34.99%     
- Complexity       19      264      +245     
=============================================
  Files             3       39       +36     
  Lines            49     1301     +1252     
  Branches          5      141      +136     
=============================================
+ Hits             42      660      +618     
- Misses            3      609      +606     
- Partials          4       32       +28     

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[PaurushGarg]

Included this change in this pr: #671