feat: Add FastAPI-style dependency injection system for MCPServer #798

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	41s
checks / test (3.10, locked, windows-latest)	2m 21s
checks / test (3.10, locked, ubuntu-latest)	50s
checks / test (3.10, lowest-direct, windows-latest)	2m 17s
checks / test (3.12, lowest-direct, ubuntu-latest)	56s
checks / test (3.11, locked, windows-latest)	2m 19s
checks / test (3.14, lowest-direct, windows-latest)	2m 9s
checks / test (3.11, locked, ubuntu-latest)	47s
checks / test (3.14, locked, windows-latest)	3m 6s
checks / test (3.12, locked, windows-latest)	3m 7s
checks / test (3.13, lowest-direct, ubuntu-latest)	52s
checks / test (3.12, locked, ubuntu-latest)	55s
checks / test (3.14, locked, ubuntu-latest)	2m 25s
checks / test (3.13, locked, windows-latest)	2m 8s
checks / test (3.13, locked, ubuntu-latest)	45s
checks / test (3.11, lowest-direct, ubuntu-latest)	55s
checks / test (3.13, lowest-direct, windows-latest)	2m 33s
checks / test (3.10, lowest-direct, ubuntu-latest)	54s
checks / test (3.12, lowest-direct, windows-latest)	3m 13s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 20s
checks / test (3.11, lowest-direct, windows-latest)	2m 25s
all-green	2s
	37m 11s

Provide feedback