feat: Add FastAPI-style dependency injection system for MCPServer #794

Job	Run time
checks / test (3.13, lowest-direct, ubuntu-latest)	50s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 0s
checks / test (3.12, locked, ubuntu-latest)	55s
checks / test (3.12, locked, windows-latest)	4m 6s
checks / test (3.10, locked, ubuntu-latest)	50s
checks / pre-commit	35s
checks / test (3.13, locked, ubuntu-latest)	46s
checks / test (3.11, locked, ubuntu-latest)	49s
checks / test (3.13, lowest-direct, windows-latest)	2m 56s
checks / test (3.13, locked, windows-latest)	2m 15s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 18s
checks / test (3.14, locked, windows-latest)	3m 6s
checks / test (3.10, lowest-direct, ubuntu-latest)	52s
checks / test (3.12, lowest-direct, windows-latest)	3m 18s
checks / test (3.11, locked, windows-latest)	2m 20s
checks / test (3.14, locked, ubuntu-latest)	2m 12s
checks / test (3.11, lowest-direct, windows-latest)	2m 27s
checks / test (3.14, lowest-direct, windows-latest)	2m 22s
checks / test (3.10, lowest-direct, windows-latest)	2m 28s
checks / test (3.10, locked, windows-latest)	2m 29s
checks / readme-snippets	15s
checks / test (3.11, lowest-direct, ubuntu-latest)	50s
all-green	4s
	39m 3s

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