feat: Add FastAPI-style dependency injection system for MCPServer #780

Job	Run time
checks / pre-commit	31s
checks / readme-snippets	16s
checks / test (3.11, lowest-direct, windows-latest)	3m 32s
checks / test (3.12, lowest-direct, windows-latest)	3m 32s
checks / test (3.10, locked, ubuntu-latest)	46s
checks / test (3.14, locked, windows-latest)	3m 4s
checks / test (3.11, locked, ubuntu-latest)	43s
checks / test (3.12, locked, windows-latest)	3m 25s
checks / test (3.13, lowest-direct, windows-latest)	2m 36s
checks / test (3.11, locked, windows-latest)	2m 48s
checks / test (3.12, locked, ubuntu-latest)	51s
checks / test (3.14, locked, ubuntu-latest)	2m 24s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 10s
checks / test (3.12, lowest-direct, ubuntu-latest)	53s
checks / test (3.10, lowest-direct, ubuntu-latest)	50s
checks / test (3.13, locked, windows-latest)	2m 21s
checks / test (3.13, lowest-direct, ubuntu-latest)	49s
checks / test (3.11, lowest-direct, ubuntu-latest)	47s
checks / test (3.10, locked, windows-latest)	2m 12s
checks / test (3.10, lowest-direct, windows-latest)	2m 22s
checks / test (3.13, locked, ubuntu-latest)	46s
checks / test (3.14, lowest-direct, windows-latest)	2m 15s
all-green	6s
	38m 59s

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