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where the last party to sign can spend using a very big script path instead of the agreed upon key path, thus inflating the whole transaction's size and diminishing the overall feerate, as the absolute fee (in sats) was already committed to.

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This attack doesn't steal funds per se, but degrades the expected "quality of service" (in terms of quick confirmation, for example), and can indirectly result in loss of funds in the case of time-sensitive protocols. Definitely something to keep in mind!