I agree that it won't break your LOG chain, maybe I used the wrong words to explain my statement well. I assumed the OP was referring to how to restore when a unexpected backup was taken (and backup file not available). Therefor I also tried to describe an example.
Except that the example has nothing to do with the LSN chains that the OP asked (full backups reset the differential base, that's all)
A log chain can only be broken by changing the recovery model to simple and back to full or bulk-logged.
It can be broken by a number of other things than just that, but full backups are not one.
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