Does partially intentionally wrong kavanah make a bracha a bracha levatalah?

If I put on my tzitzit and notice that a string is missing (or something else which would invalidate it as proper tzitzit) and wear it any, and then later, when I put my tallit gadol on, have in mind that the bracha should cover my tallit katan as well (as per the M"B's statement "And this is the custom nowadays, to make the blessing on the טלית גדול and have in mind to exempt with it the טלית קטן.") does the fact that I know that my bracha is intended to apply to something which cannot be covered by that bracha undermine the value of the entire bracha or is it still a valid bracha because I also have in mind the tallit gadol which is kosher?

Clearly, I'm not asking for a psak with the intention of doing anything like this but I want to understand the power of kavanah in determining the efficacy of a bracha.

  • 2
    It's forbidden for a man to keep wearing a four cornered garment without valid tzitzit on it
    – Double AA
    May 29, 2022 at 12:43
  • But isn't that a separate infraction? I'm asking about the nature of a bracha made with intentionally invalid intent. That the underlying behavior is also a problem is (to my understanding) a distinct violation.
    – rosends
    May 29, 2022 at 12:56
  • Can't we make a simpler case then: a man says a blessing on his tallis and intends to also exempt with it his cat's shoes even though he knows they don't have tzitzit on them, don't have four corners, and that cats are exempt.
    – Double AA
    May 29, 2022 at 12:59
  • sure, but I was taking something that is explicitly listed as being able to be included by that particular bracha were it kosher
    – rosends
    May 29, 2022 at 13:33
  • Cats shoes could also be included if they were being worn by a Jew with kosher tzitzit.
    – Double AA
    May 29, 2022 at 13:34


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