feat: Add FastAPI-style dependency injection system for MCPServer #791

Job	Run time
checks / readme-snippets	13s
checks / pre-commit	32s
checks / test (3.14, locked, ubuntu-latest)	2m 21s
checks / test (3.11, lowest-direct, ubuntu-latest)	53s
checks / test (3.13, locked, windows-latest)	2m 41s
checks / test (3.13, locked, ubuntu-latest)	56s
checks / test (3.14, lowest-direct, windows-latest)	2m 14s
checks / test (3.10, locked, ubuntu-latest)	47s
checks / test (3.11, lowest-direct, windows-latest)	2m 37s
checks / test (3.10, lowest-direct, windows-latest)	2m 19s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 1s
checks / test (3.12, locked, ubuntu-latest)	56s
checks / test (3.12, locked, windows-latest)	3m 8s
checks / test (3.13, lowest-direct, ubuntu-latest)	52s
checks / test (3.10, locked, windows-latest)	2m 22s
checks / test (3.12, lowest-direct, ubuntu-latest)	58s
checks / test (3.11, locked, ubuntu-latest)	50s
checks / test (3.11, locked, windows-latest)	2m 28s
checks / test (3.13, lowest-direct, windows-latest)	2m 14s
checks / test (3.12, lowest-direct, windows-latest)	3m 22s
checks / test (3.14, locked, windows-latest)	3m 37s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 11s
all-green	5s
	38m 37s

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