feat: Add FastAPI-style dependency injection system for MCPServer #785

Job	Run time
checks / test (3.14, locked, windows-latest)	3m 45s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 10s
checks / test (3.12, locked, windows-latest)	3m 9s
checks / test (3.12, lowest-direct, windows-latest)	3m 20s
checks / test (3.12, lowest-direct, ubuntu-latest)	53s
checks / readme-snippets	15s
checks / pre-commit	24s
checks / test (3.11, lowest-direct, windows-latest)	2m 34s
checks / test (3.12, locked, ubuntu-latest)	52s
checks / test (3.11, locked, ubuntu-latest)	45s
checks / test (3.10, lowest-direct, ubuntu-latest)	47s
checks / test (3.10, locked, windows-latest)	2m 30s
checks / test (3.13, locked, ubuntu-latest)	41s
checks / test (3.14, locked, ubuntu-latest)	2m 19s
checks / test (3.13, locked, windows-latest)	2m 15s
checks / test (3.13, lowest-direct, ubuntu-latest)	44s
checks / test (3.13, lowest-direct, windows-latest)	2m 13s
checks / test (3.10, locked, ubuntu-latest)	47s
checks / test (3.14, lowest-direct, windows-latest)	2m 27s
checks / test (3.11, locked, windows-latest)	2m 26s
checks / test (3.11, lowest-direct, ubuntu-latest)	48s
checks / test (3.10, lowest-direct, windows-latest)	2m 21s
all-green	5s
	37m 30s

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