Bump to TypeScript 5.5 and enable `noImplicitAny` #1432

Job	Run time
build-desktop (macos, development)	1m 40s
build-desktop (macos, production)	1m 31s
build-docker (macos-13)	21m 2s
build-desktop (ubuntu, development)	52s
build-docker (ubuntu-latest)	2m 15s
build-web (macos, development)	1m 39s
build-web (macos, production)	1m 30s
build-desktop (ubuntu, production)	54s
build-web (macos, test)	1m 27s
build-desktop (windows, development)	3m 59s
build-web (ubuntu, development)	59s
build-desktop (windows, production)	5m 19s
build-web (ubuntu, production)	1m 0s
build-web (ubuntu, test)	1m 0s
build-web (windows, development)	4m 52s
build-web (windows, production)	4m 9s
build-web (windows, test)	2m 32s
	56m 40s

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