Refactor database configuration from `config-utils` into its own file #10343

Job	Run time
analyze-other (actions)	54s
analyze-other (python)	1m 0s
check-codeql-versions	33s
analyze-javascript (windows-2022, linked)	4m 42s
analyze-javascript (macos-13)	9m 21s
analyze-javascript (macos-13, linked)	7m 9s
analyze-javascript (ubuntu-22.04, linked)	3m 55s
analyze-javascript (windows-2025, linked)	5m 19s
analyze-javascript (windows-2025)	6m 0s
analyze-javascript (ubuntu-24.04, linked)	3m 55s
analyze-javascript (ubuntu-24.04)	4m 6s
analyze-javascript (windows-2022)	4m 52s
analyze-javascript (macos-15, linked)	5m 0s
analyze-javascript (ubuntu-22.04)	4m 6s
analyze-javascript (macos-14)	7m 7s
analyze-javascript (macos-14, linked)	6m 42s
analyze-javascript (macos-15)	8m 5s
	1h 22m 46s

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