feat: Add FastAPI-style dependency injection system for MCPServer #797

Job	Run time
checks / readme-snippets	16s
checks / pre-commit	34s
checks / test (3.10, locked, windows-latest)	2m 7s
checks / test (3.13, lowest-direct, ubuntu-latest)	49s
checks / test (3.10, lowest-direct, ubuntu-latest)	58s
checks / test (3.11, locked, windows-latest)	2m 28s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 4s
checks / test (3.11, lowest-direct, windows-latest)	2m 41s
checks / test (3.10, lowest-direct, windows-latest)	2m 45s
checks / test (3.13, locked, ubuntu-latest)	45s
checks / test (3.11, locked, ubuntu-latest)	46s
checks / test (3.12, locked, ubuntu-latest)	56s
checks / test (3.12, lowest-direct, windows-latest)	4m 46s
checks / test (3.14, lowest-direct, windows-latest)	2m 14s
checks / test (3.11, lowest-direct, ubuntu-latest)	54s
checks / test (3.13, locked, windows-latest)	2m 20s
checks / test (3.14, locked, ubuntu-latest)	2m 21s
checks / test (3.12, locked, windows-latest)	3m 7s
checks / test (3.10, locked, ubuntu-latest)	50s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 15s
checks / test (3.14, locked, windows-latest)	3m 0s
checks / test (3.13, lowest-direct, windows-latest)	3m 8s
all-green	2s
	40m 6s

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