feat: Add FastAPI-style dependency injection system for MCPServer #778

Job	Run time
checks / pre-commit	31s
checks / readme-snippets	11s
checks / test (3.10, locked, ubuntu-latest)	49s
checks / test (3.10, locked, windows-latest)	2m 11s
checks / test (3.12, lowest-direct, windows-latest)	3m 38s
checks / test (3.12, locked, windows-latest)	3m 26s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 14s
checks / test (3.13, lowest-direct, ubuntu-latest)	44s
checks / test (3.12, locked, ubuntu-latest)	54s
checks / test (3.13, lowest-direct, windows-latest)	2m 34s
checks / test (3.10, lowest-direct, ubuntu-latest)	50s
checks / test (3.12, lowest-direct, ubuntu-latest)	53s
checks / test (3.13, locked, ubuntu-latest)	45s
checks / test (3.11, locked, windows-latest)	2m 28s
checks / test (3.11, lowest-direct, ubuntu-latest)	47s
checks / test (3.14, lowest-direct, windows-latest)	2m 22s
checks / test (3.14, locked, windows-latest)	3m 13s
checks / test (3.14, locked, ubuntu-latest)	2m 9s
checks / test (3.10, lowest-direct, windows-latest)	3m 42s
checks / test (3.13, locked, windows-latest)	2m 38s
checks / test (3.11, lowest-direct, windows-latest)	2m 46s
checks / test (3.11, locked, ubuntu-latest)	45s
all-green	4s
	39m 34s

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