types/logger: fix deadlock RateLimitedFn reentrancy

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Fix regression from 19c3e6cc9e
which made the locking coarser.

Found while debugging #2245, which ended up looking like a tswin/Windows
issue where Crawshaw had blocked cmd.exe's output.

Signed-off-by: Brad Fitzpatrick <bradfitz@tailscale.com>

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