feat: Add FastAPI-style dependency injection system for MCPServer #776

Job	Run time
checks / readme-snippets	14s
checks / test (3.11, lowest-direct, ubuntu-latest)	43s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 13s
checks / test (3.10, locked, ubuntu-latest)	43s
checks / test (3.11, locked, windows-latest)	2m 50s
checks / test (3.10, lowest-direct, windows-latest)	2m 29s
checks / test (3.12, lowest-direct, windows-latest)	4m 3s
checks / test (3.13, lowest-direct, ubuntu-latest)	45s
checks / test (3.12, locked, ubuntu-latest)	49s
checks / test (3.12, locked, windows-latest)	3m 24s
checks / test (3.13, locked, ubuntu-latest)	42s
checks / test (3.11, locked, ubuntu-latest)	42s
checks / test (3.14, locked, ubuntu-latest)	2m 17s
checks / test (3.12, lowest-direct, ubuntu-latest)	50s
checks / test (3.14, locked, windows-latest)	3m 7s
checks / test (3.13, lowest-direct, windows-latest)	2m 38s
checks / pre-commit	31s
checks / test (3.11, lowest-direct, windows-latest)	2m 32s
checks / test (3.10, locked, windows-latest)	2m 12s
checks / test (3.10, lowest-direct, ubuntu-latest)	44s
checks / test (3.13, locked, windows-latest)	2m 30s
checks / test (3.14, lowest-direct, windows-latest)	2m 16s
all-green	4s
	38m 18s

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