This updates livecheck files to use `typed: script` where feasible.
The remaining exception is `livecheck/strategy.rb`, as I wasn't
able to figure out how to resolve the typing issues around the
`@strategies` variable (I tried a couple of approaches but couldn't
find a working solution). This includes changes to resolve the other
type errors in `strategy.rb` but leaves the file as `typed: true`
for now.
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