feat: Add FastAPI-style dependency injection system for MCPServer #790

Job	Run time
checks / readme-snippets	14s
checks / test (3.11, locked, ubuntu-latest)	50s
checks / test (3.10, locked, ubuntu-latest)	45s
checks / test (3.10, lowest-direct, windows-latest)	2m 23s
checks / test (3.11, lowest-direct, ubuntu-latest)	46s
checks / test (3.11, lowest-direct, windows-latest)	2m 58s
checks / test (3.11, locked, windows-latest)	2m 22s
checks / test (3.13, locked, ubuntu-latest)	46s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 6s
checks / test (3.13, locked, windows-latest)	2m 24s
checks / test (3.14, locked, ubuntu-latest)	2m 13s
checks / test (3.12, lowest-direct, ubuntu-latest)	50s
checks / test (3.14, lowest-direct, windows-latest)	2m 46s
checks / test (3.12, locked, ubuntu-latest)	53s
checks / test (3.13, lowest-direct, windows-latest)	2m 44s
checks / test (3.10, locked, windows-latest)	2m 32s
checks / test (3.12, locked, windows-latest)	3m 8s
checks / test (3.13, lowest-direct, ubuntu-latest)	48s
checks / test (3.14, locked, windows-latest)	3m 14s
checks / test (3.10, lowest-direct, ubuntu-latest)	46s
checks / test (3.12, lowest-direct, windows-latest)	3m 24s
checks / pre-commit	33s
all-green	3s
	38m 28s

Provide feedback