chore: bump deps and align APIs to match KGO

[czeslavo]

What this PR does / why we need it:

Bumps kong/kubernetes-configuration module dependency to the commit used in KGO. Changes manager's Run to Start to satisfy controller-runtime's Runnable interface.

Which issue this PR fixes:

Part of Kong/gateway-operator#1172.

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 1 line in your changes missing coverage. Please review.

Please upload report for BASE (feat/kic-as-library@d176d42). Learn more about missing BASE report.

Files with missing lines	Patch %	Lines
...ernal/controllers/utils/control_plane_reference.go	0.0%	1 Missing ⚠️

Additional details and impacted files

@@                  Coverage Diff                  @@
##             feat/kic-as-library   #7156   +/-   ##
=====================================================
  Coverage                       ?    4.0%           
=====================================================
  Files                          ?     145           
  Lines                          ?   15094           
  Branches                       ?       0           
=====================================================
  Hits                           ?     616           
  Misses                         ?   14411           
  Partials                       ?      67           

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