Bump Microsoft.Azure.Functions.Worker.Extensions.Storage from 5.0.1 to 6.2.0 in /src/ApiService #1777

Job	Run time
agent (self-hosted, 1ES.Pool=onefuzz-ci, 1ES.ImageOverride=github-runner-image-windows-2019)	1s
azcopy	17s
check-pr	2m 12s
agent (self-hosted, 1ES.Pool=onefuzz-ci, 1ES.ImageOverride=github-runner-image-ubuntu-20.04)	1s
agent (self-hosted, 1ES.Pool=onefuzz-ci-arm64, 1ES.ImageOverride=github-runner-image-ubuntu-20.04...	1s
contrib-webhook-teams-service	41s
onefuzztypes	37s
python-safety	37s
afl	6s
aflpp	36s
dotnet-fuzzing-tools-linux	2m 49s
Check Bicep files	37s
dotnet-fuzzing-tools-windows	7m 21s
proxy	21m 54s
radamsa-linux	6s
service	11s
build-integration-tests-linux	17s
build-integration-tests-windows	41s
radamsa-win64	25s
cli	4m 43s
integration-tests-linux	25s
package	0s
	44m 38s

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