feat: Add FastAPI-style dependency injection system for MCPServer #796

Job	Run time
checks / readme-snippets	12s
checks / pre-commit	39s
checks / test (3.11, locked, ubuntu-latest)	52s
checks / test (3.11, lowest-direct, ubuntu-latest)	58s
checks / test (3.12, locked, ubuntu-latest)	52s
checks / test (3.13, lowest-direct, ubuntu-latest)	55s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 20s
checks / test (3.10, lowest-direct, windows-latest)	2m 21s
checks / test (3.13, lowest-direct, windows-latest)	2m 28s
checks / test (3.14, locked, ubuntu-latest)	2m 21s
checks / test (3.12, lowest-direct, windows-latest)	3m 14s
checks / test (3.14, lowest-direct, windows-latest)	2m 36s
checks / test (3.12, locked, windows-latest)	3m 20s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 1s
checks / test (3.13, locked, ubuntu-latest)	52s
checks / test (3.11, locked, windows-latest)	2m 22s
checks / test (3.10, locked, ubuntu-latest)	48s
checks / test (3.10, lowest-direct, ubuntu-latest)	53s
checks / test (3.14, locked, windows-latest)	3m 8s
checks / test (3.11, lowest-direct, windows-latest)	2m 28s
checks / test (3.13, locked, windows-latest)	2m 21s
checks / test (3.10, locked, windows-latest)	2m 13s
all-green	2s
	38m 16s

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